H F -^^^=y(^c: 1 ''mt wmm j Woolen and Worsted Mills j C\J s C\J o Digitized by tine Internet Arciiive in 2007 witii funding from IVIicrosoft Corporation littp://www.arcliive.org/details/costfindinginwooOOdalerich "Straight Line'* Textile Calculations Cost Finding in Woolen and Worsted Mills SAMUEL S. DALE PUBLISHED BY BOSTON, MASS. COPYBIGHT, 1918 BY SAMUEL S. DALE. CONTENTS Introduction Cost of Raw Material Sorted Wool Wool in Worsted Top Wool in Worsted Yarn Stock in Woolen Yarn Stock in Cloth Material in Union Goods Cost of Manufacturing Essentials in Cost Finding . Record of Production and Cost Fixed Charges Per Yard Cost Averages Cost of Each Fabric Raw Material Cost Manufacturing Cost Manufacturing Worsted Yarn Manufacturing Woolen Yarn 417552 Introduction From a business standpoint it is of vital importance for every manufacturer to know the cost of each fabric made in his mill. Without such knowledge the busi- ness of manufacturing becomes guesswork and the manufacturer may find too late that his goods have been sold at a loss because of too low an estimate of cost or that they have not been sold at all because the price was fixed above the market as a result of the cost estimate being too high. The diversity in textile fabrics is so great and the conditions of manufacture vary so widely in different mills that it is impossible to give general directions for cost finding that would suit every case. All of the operations of converting raw material into the fin- ished product may be carried on in one mill. Fre- quently however, the material is taken in a partially manufactured condition from one mill to another, where the work is advanced or completed. Some parts of a fabric may be made from the raw stock in one mill, while other parts of the same fabric may have been made in several mills. Cost of Raw Material The calculation of the cost of raw material in yarn or cloth is a comparatively simple operation. To make this calculation it is necessary to know the original cost of the stock as received at the mill, together with the shrinkage in manufacturing and the value of waste products. The value of the waste products is sometimes omitted from the calculations, with the object of hav- ing the omission of this factor, which reduces the cost, compensate for possible errors in other items ; in other words, that the estimate may be on the "safe side." The value of the waste products is too large in some cases (worsted yarn, for example) to be omitted and! it is preferable to allow for it in all cases. The most elusive factor in calculating the cost of raw material is the shrinkage ini manufacturing. This varies with different grades of stock and can be de- termined only by careful tests of large quantities of material passing through the mill. A system of re- ports should be established to show the quantity of finished material obtained from lots of stock delivered to different departments. Take a worsted mill for example. Each lot of wool as it is purchased should be numbered and known by this number in the mill. Sorting, scouring, combing and spinning tests of each purchase should be made on a scale sufficiently large to give reliable results. .Si^lyl"^^^ ; WOOL COST FINDING Cost of Sorted Wool The sorting test will show the quantity of each sort obtained from the wool, and a comparison of the test with those of previous lots will show whether the wool is yielding better or poorer results. This sorting test should be made on as large a scale as convenient. A record of the weight of each sort is made and tlie value of the side sorts (that is, all except the body sorts) is estimated and deducted from the total cost of the lot, the remainder representing the cost of the body sort. The cost of the latter per pound is then readily calculated. The following example will illus- trate the operation : Ex. A lot of 1 0,6 1 8 pounds of Australian 3/8 blood crossbred wool cost $2,276.50, or 21 44/100 cents per pound, delivered at the mill. When sorted there were* besides the 3/8 body sort, burry valued at 12 cents, fribs at 12 cents, cotted wool at 12 cents and 1/4 blood wool at 20 cents per pound. The following statement gives the quality of each sort and method of calculating the cost of the 3/8 body sort : 10,618 pounds 21 44/100 cts. $2,276.50 Side sorts : Burry, 70 lbs. 12 cts. $8.40 Fribs, 32 lbs. 12 cts. 3.84 Cotted wool, 5 lbs. 12 cts. .60 1/4 blood wool, 200 lbs. 20 cts. 40.00 52.84 3/8 blood body sort, 10,311 lbs. $0.2157 $2,223.66 The cost of the body sort per pound, $.2157, is found by dividing the total cost, $2,223.66, by the number of pounds, 10,311. WOOL COST FINDING 9 Cost of Wool in Worsted Top The combing test is the best method for indicating the manufacturing value of the wool. The principle on which the test is made is the same as that of the sorting test. A large lot of the body sort is kept sep- arate during the scouring, carding and combing proc- esses. The waste and combed top from the lot are carefully weighed. The value of the waste products is estimated and deducted from the original cost of the lot. The remainder represents the cost of the wool in the combed top, from which the cost per pound is obtained by dividing by the number of pounds of top. The following illustration will show, the method of calculation : Ex. Ten thousand pounds of the 3/8 body sort of the Australian wool referred to in the preceding ex- ample was tested to determine the cost of the combed top. The following statement shows the quantity of by-products and top, also the valuation of the by-prod- ucts and raw stock, and the cost of the top : 10,000 pounds (grease weight) 3/8 blood Australian 21 57/100 c. $2,157.00 By-products : 1 1.4 per ct. noil, 757 lbs. i6cts. $121.12 2.5 per ct. card waste, 166 lbs. 10 cts. 16.60 .2 perct. bur waste, 13 lbs. i ct. .13 .9perct. lap waste, 61 lbs. 20 cts. 12.20 150.05 85 per cent, top, 5,655 lbs. 35 1/2 c. $2,006.95 100 per cent, clean weight, 6,652 lbs. Loss in scouring, 33 1/2 per cent. Such tests show the value of the particular lot tested and also enable a comparison to be made be- tween the cost of the products obtained from different kinds of materials. By this comparison the stock lo WOOL COST FINDING yielding the best results in manufacturing is disclosed. This is illustrated by the above test of Australian crossbred, which was made to determine whether this kind of wool was more profitable than the 3/8 un- washed Virginia, which had been used for years in the same mill. The tests of the Virginia wool re- sulted as follows : Sorting Test: 77 bags, 12,938 lbs. 20 cents $2,587.60 Burry, 359 lbs. 12 cents $43.08 Stained, 70 lbs. 12 cents 8.40 Seedy, 7 lbs. 12 cents .84 Clips, 53 lbs. I 1/4 cents .66 Strings, 74 lbs. 1/2 cents .37 1/4 blood, 830 lbs. 12 cents ' 99.60 Low wool, 67 lbs. 10 cents 6.70 159-65 Invisible loss, 10 lbs. 3/8 blood body sort, 11,468 lbs. $.2111 $2,427.95 Combing Test: 11,468 lbs. (grease weight) 21.17 cents $2,427.95 By-products : 1 1.6 p. c. noil 709 lbs. 16 c. $1 13.44 2.9p. c. card waste 174 lbs. 10 c. 17.40 .4 p. c. bur waste 26 lbs. i c. .26 .6p. c. lap waste 34 lbs. 20 c. 6.80 137.90 84 1/2 per cent, top 5140 lbs. 44 1/2 c. $2,290.05 100 per cent, clean weight, 6083 lbs. Loss in scouring, 47 per cent. A comparison of these two tests shows that the Australian top costs 9 cents per pound less than the Virginia top. What this difference meant may be more clearly realized when we consider that the mill in question operated seven combs, which produced about 2,000 pounds of top per day. The difference of 9 cents per pound would amount to $180 per day WOOL COST FINDING n or $54,000 per year. This expensive Virginia wool had been used exclusively for twenty years in this particular mill for this grade of top, the judgment of the wool buyer having been accepted as conclusive as to the value of the wool during that time. This case illustrates the importance of accuracy in mill tests to determine the waste and cost of the ma- terial in process. Practically the same proportion of top was obtained from the clean wool of each grade, the difference in the cost of the top being due to the difference in loss in scouring, which was 33 1/2 per cent, for the Australian wool and 47 per cent, for the Virginia. The Australian wool served the purpose better than the Virginia, being longer, stronger, equal in quality and containing less impurities. The lots tested were bought about the same time and at prevail- ing market rates. Cost of Wool in Worsted Yarn The calculation of the raw material cost of yarn is based on the same general principle as for top. If the cost of worsted yarn is to be calculated, a test is made with a large lot of worsted top. The following illus- tration will make the calculation clear without further explanation : The 5,655 pounds of Australian top above referred to yielded when spun 280 pounds of waste worth 20 cents per pound and 5,090 pounds of yarn, showing an invisibles loss of 285 pounds, due to evaporation of moisture in the top. The cost of the wool per pound of yarn is found as follows : 5,655 lbs. 3/8 blood Australian top 35 1/2 c. $2,006.95 Waste, 280 lbs. 20 cents 56.00 Raw material cost of yarn, 5,090 lbs. 38.3 c. $1,950.95 12 WOOL COST FINDING Tests of each grade of top are made to determine the percentage and value of waste and the amount of invisible loss. The data thus obtained are used for calculating the cost of yarn made from higher or lower priced top. In the test just given we find that the 3/8 top yields 90 per cent, of yarn and 5 per cent, of waste, the lat- ter worth 20 cents per pound, while there is an invisi- ble loss of 5 per cent. The calculation of cost of yarn from top at a given price is shown by the following example : Ex. Find raw material cost of yarn made from 3/8 top costing 32 1/2 cents per pound, with shrinkage and waste as given below. 100 lbs. top at 32 1/2 cents $32.50 5 lbs. waste at 20 cents 1,00 90 lbs. yarn $31 -50 $31.50 -f- 90 = 35 cents, cost of top for one pound of yarn. Cost of Stock in Woolen Yarn Calculating the cost of raw material in woolen yarn is based on the same principle as in the case of worsted yarn. A test of a large lot is first made to determine the amount of waste and yield of yarn. The value of the waste is then deducted from the cost of the lot, and the remainder, which is the cost of the raw stock in the yarn, is divided by the number of pounds of yarn to get the cost per pound. Ex. The stock for a frieze fabric is composed of the following mixture: 20 per cent. Bagdad wool 18 cents 20 per cent, pulled wool 17 " 15 per cent, scoured wool 24 " 10 per cent, card waste 6 " WOOL COST FINDING 13 10 per cent, sweepings 4 5 per cent, headings 5 20 per cent, yarn waste 12 The stock yields 75 per cent, of yarn, the waste products being as follow : 10 per cent, card waste 6 cents 2 per cent, yarn waste 10 cents 3 per cent, invisible loss. Find the cost of the stock per pound of yarn. The average cost of the batch is found as follows : 20 lbs. Bagdad .18 $3.60 20 " pulled .17 15 " scoured .24 15 " card waste .06 340 3.60 .60 10 " sweepings .04 5 " headings .05 20 " yarn waste .12 .40 •25 2.40 100 " 14.25 $14.25 -f- 100 = 14 1/4 cents per lb. Then: 100 lbs. picked stock at 14 1/4 cents 10 " card waste .06 .( 5o $14.25 2 " yarn waste .10 .: 20 .80 75 " yarn cost $13.45 -f- 75 = $.179, cost of stock per $1345 pound of yarn. The waste in weaving is not included cent, shrinkage. Cost of Stock in Cloth in the 25 per The raw material received by the mill may be in the form of raw stock, such as cotton* wool and shoddy, or partelly manufactured material, such as worsted tops and yarn. If partially manufactured its cost includes the cnst of labor and other expenses in the processes through which it has already passed. 14 WOOL COST FINDING If the cloth is made of one grade of yarn only, cot- ton, woolen, worsted or other material, the cost of the raw material per finished yard is readily calculated from the original cost of the raw material, the weight of the finished goods, and the shrinkage between raw stock and finished cloth. Ex. A worsted serge is made from 2/32S yarn cost- ing 76 cents per pound. The by-product consists of 21/2 lbs. of yarn waste worth 25 cents a pound for every 100 lbs. of yarn. The waste of warp is neg- ligible. The cloth loses 12 per cent, in weight during finishing, the value of the waste products, flocks, head- ings, etc., being negligible. Find the cost of yarn in one yard of cloth weighing 15 1/2 ounces. 100 lbs. yarn ."jd $76.00 21/2 " waste .25 .63 97 1/2 " of woven cloth $75-37 97 1/2 X .88 = finished weight, 85.8 pounds. $75-37 "^ 85.8 = $.878, cost of yarn per pound of finished cloth. At this rate the cost of the yarn for one yard, 15 1/2 ounces of cloth is: (.878 X 15 i/2X-^- 16= .85, cost of yarn per yard. 15 1/2 ounces. Another method of calculation is as follows, taking the same example for illustration : 15 1/2 -f- .88 = 17.61 ozs. woven cloth 17.61 -^ .975 = 18.06 ozs. yarn per finished yard 18.06 X .025 = .45 ozs. yarn waste 18.06 ozs. yarn .y(i $857 .45 ozs. yarn waste .25 .007 Cost of yarn per yard .85 per lb. Ex. A worsted fabric is made with 4,200 ends 2/36S worsted, 65.5 inches in loom, 62 picks 2/36S worsted. The yarn costs $1.10 per pound. The waste in spooling, warping^ and weaving is 4 per cent. WOOL COST FINDING 15 of the total weight o£ the yarn and the loss of weight in finishing is 10 per cent, of the woven weight. The waste product is 3 per cent, yarn waste worth 25 cents per pound. Find the cost of yarn per finished yard weighing 12 ounces. 100 finished yards = 75 lbs. finished 75 -f- .90 = 83 1/3 lbs. woven 83 1/3 -^ .96 = 87 lbs. yarn Sy lbs. yarn X $1.10 $95-70 &j?4bs» yarn X $1.10 2.6 lbs. waste .25 .65 100 yds. finished, .95 per yd. $95-05 A frieze fabric made from a mixture costing 14 1/4 cents per lb. at the picker, weighs 30 ounces per yard. The loss of weight up to and including the weaving process is 27 per cent. The loss of weight in finishing is 18 per cent. The waste products are as follows: 15 per cent, card waste 6 cents 6 per cent, yarn waste 10 cents Find cost of raw stock per pound and yard of cloth. 100 lbs. picked stock at 14 1/4 cents $14-25 15 lbs. card waste at 6 cents .90 6 lbs. yarn waste at 10 cents .60 1.50 73 lbs. woven cloth - 12.75 $12.75 -^ 73 = -175 cost of stock per woven pound 7S X .82 = .59.9 lbs. finished cloth $12.75-4- 59.9 = .213 cost of stock per finished pound (.213 X 30) -i- 16= .399, cost of stock per fin. yd., 30 ozs. The same result is obtained from the cost per woven pound and the loss in finishing: .175 -f- .82 = .213, cost of stock per finished pound Another direct method of calculation is based on the cost of the picked stock per pound and the shrink- age from picked sto^to finished cloth : •73 X .82 = 59.9'" ^r cp nt . -shriakage_frQirL-stQck-4» finished cloth. ' i6 WOOL COST FINDING .1275 "^ -599 ~ -^^3? ^^^^ ^^ stock per pound per cloth. Ex. A woolen cassimere is made of wool costing 56 cents per scoured pound. The shrinkage from scoured wool to woven cloth is 22 per cent., of which 9 per cent, is card waste valued at 8 cents per pound, and 4 per cent, is yarn waste valued at 14 cents per pound. The loss of weight in finishing is 16 per cent. Find cost of wool per yard of 15 1/2 ounces. The value of the waste products are first deducted from the cost of the wool. 100 lbs. wool .56 $56.00 9 lbs. card waste .08 .y2 4 lbs. yarn waste .14 .56 1.28 100 lbs. wool 5472 $54.72 -^ 100 = .547, net cost of wool per lb. Material required per finished yard : 15-5 -^.84=18.45 ozs. woven 18.45 "^ -7^ — 23.65 ozs. wool. 23.65 ozs. .547 per lb. = $.809, cost of wool per yd. The calculation can be varied as follows, the result being the same : 15 1/2 (ozs.) -h- .84 = 18.45 ozs. woven yarn 18.45 "^ -78 — 23.65 ozs. picked stock. 23.65 ozs. .547 per lb. = .809, cost of wool per yd. When all the material in a fabric is of the same grade and cost, a calculation of the cost of raw ma- terial is best made from the finished weight per yard, loss in manufacturing and cost of raw material by weight as already explained. The calculation is sim- plified and chances of error reduced, as it is not neces- sary to calculate separately the weight of warp and filling per yard. WOOL COST FINDING 17 Cost of Material in Union Goods The same method may also be used for finding ihe cost of material in union fabrics composed of two or more kinds of yarns having different values. The calculation is more complicated owing to the differ- ent degrees of shrinkage for the materials during fin- ishing. The cost of each materal is calculated separately. The different materials used in union cloths are sub- ject to different degrees of loss in finishing. For this reason it is necessary to determine first the propor- tions of the different materials in a woven yard or cut. The cost per finished yard is then calculated from these proportions, the cost of the yarn and the loss of weight in finishing. The particular method to be adopted depends somewhat upon the composition of the fabric and can be best explained by practical ex- amples : Casket Cloth. Ex. A cotton warp casket cloth is made with 3,000 ends 2/28S cotton, costing 20 cents per pound, 91 inches in the loom, 36 picks of 2 1/3 run yarn. The filling stock is made up: 5 per cent, wool 65 cents 15 " " cotton 15 cents 80 " " shoddy 15 cents Average cost, 17 1/2 cents. The take-up of the warp is 6 per cent. ; of filling, 5 per cent. The loss of weight from raw stock to yarn is 20 per cent.,' including weavers' waste. The woven cloth loses 75 per cent, of its weight in finishing. There is practically no loss in the weight of the cotton warp in finishing. The pieces gain 2 per cent, in length in i8 WOOL COST FINDING finishing. Find the cost of material per yard, 14 ounces. The goods are finished 70 inches wide. The weight of cotton warp per finished yard is first calculated : 3000 -i- .94 = 3191 yards warp. 3 191 yards 2/28S cotton = 4.3 ozs. cotton yarn per woven yard. This length of the warp is increased 2 per cent, in finishing, which makes the weight per finished yard as follows : 4.3 -^ 1.02 = 4.2 ozs. cotton yarn per finished yard. As the cotton loses nothing in weight during finish- ing, the 4.2 ounces represents the finished weight of the cotton. The weight of the filling stock is next calculated : 14 -T- .75 = 18.7 ozs. yarn per finished yard. 18.7 — 4.2 = 14.5 ozs. filling yarn per finished yard. As the picked stock shrinks 20 per cent, to the woven cloth, we have : 14 1/2 -^ .80 = 18. 1 ozs. picked stock per finished yd. The cost of stock is then calculated as follows : 4.2 ozs. cotton yarn .20 per lb. $.052 1 8. 1 ozs. picked stock .175 per lb. .198 Cost of stock per finished yard $.25 In this estimate the value of the waste products from such low-priced stock is so small as to be negligible. This example shows how the presence of different materials in a fabric complicates the calculation based on weight, shrinkage and cost of raw material. That method is to be preferred, however, whenever it can be used, as it dispenses with the count, length and take-up of the yarn in the cloth except for calculating the proportion of the different materials, thus reducing the liability to error. Following is another method involving a separate calculation of the length and weight of each kind of yam : WOOL COST FINDING 19 Ex. Same as preceding. Take 100 woven yards as a basis. (100X4.3)^-16 = 26.0 pounds cotton warp. (91 X 36) -^ .95 = 3448 yds. filling per yard. 3448 -i- 233 = 14.8 ozs. filling per yard. (14.8 X 100) -^ 16 = 92 1/2 lbs. filling yarn. $.175 -f- .80 = .219, cost per pound of yarn. 100 yards woven =102 yards finished. 26.0 lbs. warp 20 $538 92.5 lbs. filling .219 20.26 $25.64 $25.64 -^ 102 = $.251, cost of raw material per finished yard. Worsted Serge. Ex. Find cost of raw material in a worsted serge made as follows: 4088 ends 2/32S worsted, 63 inches wide in loom, 66 picks 2/32S worsted. Warp yarn costs $1.05; fill- ing, $.95 per pound. Take-up 1 1 per cent, in warp, 5 per cent, in filling. Shrinkage in finishing 2 per cent. 4088 ~ .89 = 4593 yards. 2/32S = 8.21 ozs. warp (63 X 66) -^ .95 = 4377 yds. 2/32S = 7.82 ozs. filling Woven weight 16.03 ozs. 8.21 ozs. warp $1.05 per lb. $-539 7.82 ozs. filling .95 per lb. .464 Cost per woven yard $1,003 $1,003 -^ .98 = $1,023, cost per finished yard. The problem may consist (a) in calculating the cost of raw material from the lay-out, loss of weight in fin- ishing and given weight per finished yard, or (&) from the lay-out and change in length during finishing. The former is generally the case when the goods have been made in sufficient quantity to show the average loss of weight in finishing, while the problem is found in the 20 WOOL COST FINDING latter form when calculating for new fabrics which have not yet been made and for which the loss of weight can only be estimated. The next two exam- ples, referring to the same fabric, illustrate the two conditions. Ex. Estimate the cost of raw material in a thibet, which is to be made to weigh 14 ounces per yard, 4000 ends 2/40S worsted, 83.3 inches wide, 52 picks 5-run woolen. Worsted yarn cost $1.11 per pound, and loses 5 per cent., of which 4 per cent, is worth 25 cents per pound. The picked stock for the woolen filling, consisting of 1/3 fine shoddy at 14 1/2 cents and 2/3 wool at 60 cents per pound, loses 15 per cent., of which 10 per cent, is waste worth 7 cents per pound. Take- up 6 per cent, in warp and 5 per cent, in filling. Shrink- age in length in finishing, 10 per cent. 100 yards of dressed warp is taken as a basis. 100 yards of warp. 4000 ends 2/40S worsted = 35.7 pounds warp. A warp take-up of 6 per cent, gives 94 woven yards. (83.3 X 52) -^ .95 == 4569 yards filling 4569 -^ 500 ==9.14 ozs. filling (9.14 X 94) -m6 = 53.7 lbs. filling •Cost of warp yarn, icx) lbs. $1.11 $111.00 4 lbs. waste .25 i.oo 95 lbs. yarn $110.00 $1.10 -^ .95 = $1.16, cost of worsted per woven pound Cost of filling stock. 33 lbs. shoddy .145 $4.78 67 lbs. wool .60 40.20 100 lbs. $44.98 10 lbs. waste .07 .70 85 lbs. yarn $44.28 $44.28 -f- .85 = $.521, cost of filling per woven pound 37.7 lbs. warp at $1.16 = $41.41 53.7 lbs. filling at .521 = 27.98 Total $69.39 94 X .90 = 84.6 yards, finished. WOOL COST FINDING 21 $69.39 "=" ^4-6 — $.^2, cost of stock per yard finished. Ex. After this thibet fabric had been manufactured for some time it was found to lose 4 per cent, from yarn to woven cloth and 17 per cent, in finishing. Esti- mate cost of raw material per 14-ounce yard. 4000 ends 2/40S worsted with 6 per cent, take-up 6.08 ounces warp 83.3 inches wide, 521 picks 5-run with 5 per cent, take-up 9.12 " filling 15.2 " Woven weight per yard: 6.08 ozs. $1.16 per lb. $.440 9.12 ozs. .52 per lb. .296 15-2 ozs. $.736 $.736 -M5.2 = $.0484 .0484 -^ .96 = .0504, cost of yarn per woven ounce. .14 -^ .83 = 16.9 ozs. woven cloth per finished yard. 16.9 ozs. $.0504 = $.852, cost of yarn per yard finished. Ex. Find the cost of raw material in a cotton warp beaver made as follows: 3840 ends dressed 2 face, 31/2 runs, i backing 14s cotton, y/ 1/2 inches wide, 54 picks, woven 2 face 4 1/4 runs, i backing 7/8 run. Take-up 7 per cent, in filling. Shrinkage in length in fin- ishing, 8 per cent. Stock for face warp: 20 per cent, cotton $.08 1/2 40 per cent, wool .60 40 per cent, shoddy .14 1/4 Loss to woven cloth 20 per cent., of which 15 per cent, is valued at 5 cents per pound. Cotton warp yarn, 22 cents per pound, no waste. Stock for face filling : 10 per cent, cotton $.08 1/2 35 per cent, wool .60 55 per cent, shoddy .14 1/4 22 WOOL COST FINDING Loss to woven cloth 22 per cent., of which 15 per cent, is valued at 5 cents per pound. Stock for back filling: 5 per cent, wool $.32 1/2 15 per cent, cotton .08 1/2 80 per cent, waste .06 Loss to woven cloth 35 per cent. ; waste of negligible value. The cost of material per pound of woven cloth is found as already explained : Face warp $.383 Cotton warp .22 Face filling .371 Back filling .118 The quantity of material in one woven yard is next found : 1289 "^ -93 — 1376 yards 14s cotton warp = 1.87 ozs. 2560 -f-.93 = 2753 yards 3 1/2 run warp = 7.86 " (77-5 X 36) ^ .95 = 2937 yds. 4 1/4 run filling = 6.91 " (77.5 X 18) -^ .95 = 1468 yds. 7/8 run fillings 16.77 " Weight per woven yard : 33-41 " These weights per yard are extended at their respec- tive values : 1.87 ozs. cotton warp .22 $.026 7.86 ozs. face warp .383 .188 6.91 ozs. face filling .371 .160 16.77 <^zs. back filling .118 .123 Cost of material per woven yard $497 $.497 -4- .92 = $.54, cost of material per finished yard. Whenever possible, it is preferable, as already stated, to calculate the cost of material, as in the above examples, on the weiglit of the finished goods and the loss of weight in manufacturing. WOOL COST FINDING 23 Cost of Manufacturing As already explained, the cost of raw material per yard is easily calculated from the weight of the cloth, loss of weight in manufacturing, and original cost of raw material. With these quantities and values known, the estimate of cost of raw stock per yard is easily made. The calculation of the cost of labor and other expenses per yard, however, is a work of considerable difficulty because of the large number of widely differ- ent fabrics frequently made in the same mill. While estimating the cost of labor and other expenses per yard is a complex problem it can be greatly simplified by a method adapted to the conditions in the mill in which the goods are made. If a mill is running steadily on one grade of plain cloth, making no change in the quality or construction of the fabric and buying raw material in only one form, the cost of labor and other expenses per yard is easily found by dividing the total of such items for any given period by the number of yards manufac- tured in the same time. Exceptional conditions, such as the falling behind of the work in the finishing room or an increased product in the same room, due to catching up with the work after it has fallen behind, might make a test for a short period unreliable by reason of a production below or above normal. There are many other varia- tions that would make a short test unreliable, such as the payment or non-payment of expenses like insur- ance and taxes, which fall due only at long intervals, and which should be spread over a period of six months or a year. Thus even in a plain goods mill, it is nee- 24 WOOL COST FINDING essary to have the statement cover a period of consid- erable length. The nearer it approaches the fiscal period, the nearer will the result approach the actual cost of production. The following example taken from a New Eng- land flannel mill making one grade of white flannel on which the cost of labor was reckoned by the pound, will illustrate this elementary method of determining the cost of manufacturing. The other items of ex- pense were not given in this case, but can be calcu- lated by the pound in the same way : Woolen flannel mill, 13 sets cards, 7.480 spindles. Total cost of labor for 6 months, $42,912. Cloth finished same period, 251,873 pounds. Cost of labor per pound of cloth, 17 cents. The entire product consisted of a piece-dyed, woolen sacking 50 inches wide, weighing 71/2 ozs. per yard and made as follows: 2100 ends 5 runs' 63.6 inches wide in loom, 32 picks, 5 runs. It is evident that the cost of manufacturing can be very accurately determined by ths simple method, pro- viding the mills are kept in operation and the produc- tion of each department is kept equal to the others dur- ing the period covered by the statement. The application of this method, however, is neces- sarily limited to mills making only one kind of cloth. When two or more fabrics are made in the same mill, the calculation fails to give the cost of either. Let us assume, for illustration, that a mill is making the piece-dyed flannel given above and also a wool-dyed cloth made as follows: 1000 ends I 5/8 run,, 7 1/2x2 reed, 67 inches in loom, 20 picks 2 run. Finished 55 inches wide, 12 ounces per yard. WOOL COST FINDING 25 Following are a few of the items of cost which vary widely for the two fabrics: Dyeing. Higher for the new cloth which is dyed in the wool. Carding and spinning. Lower for the new cloth which is made of i 5/8 and 2 run yarn while the old fabric is made from 5 -run yarn. A woolen card would produce three of four times as much roving for the coarser yarn as for the finer. Weaving. Lower for the new cloth, which is woven with 20 instead of 32 picks. Finishing. Higher for the new cloth, which requires more care in burling, sewing, fulling, gigging, shear- ing, and specking. Fixed charges. Lower per pound for the new cloth' because of the increased production of the card on the new yarn. For some items, dyeing and finishing, the cost of the new goods is higher, while for other items, card- ing, spinning, weaving and fixed charges, the cost is lower than for the old cloth. The problem is to deter- mine the actual cost of each fabric. This cannot be done by assuming the average cost of the total prod- uct of the mill to be the cost of the two cloths, because the probabilities are that the increase of certain items of expense in the case of the new cloth will not be equal to the decrease of other items. For this reason the cost of each process must be calculated separately for each fabric. Taking for illustration the cost of carding and spin- ning for the two fabrics above mentioned, the calcu- lation is made as follows: We will assume that the cost of carding and spin- ning in this mill is 90 cents per hundred runs for labor, 26 WOOL COST FINDING and 10 cents per hundred runs for supplies. These rates are obtained from the semi-annual cost state-^ ments of the mill. The number of runs of yarn in i cut of each fabric is calculated as follows: Old Cloth; 146 runs per cut. Labor, 146 runs .90, $1.31 per cut. $1.31 -^ 50 = $.026 per yd. finished. Supplies, 146 runs .10, $.15 per cut. $.15 -f- 50 = $.003 per yd. finished. New Cloth; 84 runs per cut. Labor, 84 runs $.90 per C. $.76 per cut. $.76 ^ 48 = $.016 per yd. finished. Supplies .84 runs $.10 per C. $.08 per cut. $.08 -^ 48 = $.002 per yd. finished. Carding and Spinning, per yard : Old Cloth New Cloth Labor $.026 $.016 Supplies .003 .002 Total .029 .018 Essentials in Cost Finding Illustrations could be taken from every department of the mill showing that, in order to determine the cost of a fabric in a mill making two or more fabrics, it is necessary : Firstj to keep an accurate record of the actual pro- duction and cost of each department or process of manufacturing in the mill in question, and of the items of general cost which are not properly chargeable to any particular process. The average cost of each department is based on the respective units of produc- tion, the grease weight by the pound for sorting, the scoured weight by the pound for picking, the number of runs for carding and spinning, the section cut for warping, and the equivalent yardage based on an as- WOOL COST FINDING 27 sumed number of picks per inch, say 50, for the weave room expenses other than piecework, and for the fixed charges of the mill. Second, to calculate the quantity of material that must be put through each process to produce a given quantity of the fabric on which a cost estimate is de- sired, extend these quantities at the actual average of cost in the respective departments, and from the total of the items thus obtained for the given quantity, cal- culate the cost per yard or pound of finished goods. The value of such an estimate depends on the ac- curacy with which the quantities of material and the cost of labor and supplies in each department are de- termined. An explanation of the calculations to de- termine the quantity of material that must be put through each process for a given quantity of cloth is given in *' Straight Line Textile Calculations," and need not be repeated here. The cost of labor and supplies in each department is obtained from the records of the mill. Special and periodical reports are required for this purpose. The particular form adopted is immaterial providing the desired information is obtained. The form will have to be adapted to the special needs of each mill. 28 WOOL COST FINDING Record of Production and Cost Two kinds of statistical statements should be issued. One covers a short period, say a month, the other, six months or a year. W hen the payroll is made up weekly much labor can be saved in compiling the cost statements by making each cover a number of com- plete weeks, each period ending with the last Saturday of each month. These statements not only serve as a basis for estimating the cost of particular fabrics, but also show at regular intervals the production, cost and efficiency of the various departments of the mill. Owing to the unavoidable fluctuations in mill work a statement for a period of four weeks cannot safely be taken as the average for the year or half-year. This average is obtained by compiling annual or semi-an- nual statements showing the production and cost of each department. The illustrations show statements of cost for three mills, the Arbela Woolen Mills, the Bayard Woolen Mills and the Chantilly Worsted Mills. These are based on actual operations and dis- close, not only the production and cost in each mill, but also by comparison certain shortcomings in the opera- tion of the three mills. The name of the mill, period covered, and the ma- chinery in operation appear at the top of the report. In the first column the department of manufactur- ing or item of cost is given ; in the second, the produc- tion for the period named ; third, the amount paid for labor; fourth, the expenses other than labor; fifth, average cost of labor per unit of production; sixth, average cost of other expenses per unit of production. The production of each department of manufactur- WOOL COST FINDING 29 ing is given in the second column in the respective units : Wool Sorting. Weight of grease wool sorted. Scouring and Dyeing: Clean weight of wool, yarn or cloth dyed. Peking : Weight of stock picked. Carding and Spinning: The number of runs (1600 yards) of yarn spun. The runs of yarn per woolen card and per spindle in 10 hours and the average size of the yarn spun are given for comparison. Spooling and Dressing: Section cuts dressed. One cut dressed with 6 sections counts as 6 section cuts. Weaving : Cuts ; actual yardage ; equivalent yardage based on 50 picks per inch. The average picks per inch, ounces per yard and efficiency of the looms are given for comparison. Finishing : Finished yardage. The cuts, ounces per yard and total weight are given for comparison. A separation of the day labor from the spinning wages in the spinning department, as in the Bayard Mills, discloses whether any change in the cost of spin- ning is due to changes in the wages of the day hands or spinners. The number of cuts woven and finished shows tiie balance of production between these two connecting processes. The production of the finishing room is given in finished yards. The production of the looms is measured in yards. The number of picks per inch has an important influ- ence on the yardage. As the average picks per inch are constantly varying in a mill making a number of fabrics, the yardage does not indicate the efficiency of the looms. The less picks per inch the greater the length woven. 30 WOOL COST FINDING For this reason it is necessary to reduce the actual yardage to an equivalent number of yards woven with a standard number of picks. In the three statements 50 picks per inch is taken as the standard. In the Arbela Mills the actual number of picks per inch was Q^.^LA^t^^pfXC*Ct (/^*'^^itA.'€^fl»^ frzL^t^o^ (S^f^^ ^t-^-o-t ^A**»Jt —-Tff carfax, r: c/ r*'*<^t'^y-**i^i^j7^ \ /8 og>A6h f¥^yi^ . ?z U ZSioi* ^99 n n ce^ rz^ .fitfizsi .C/ySf4, Fig. I. Record of Production and Cost 51.4, consequently the actual length woven, 280,761 yards, is equivalent to 288,622 yards having 50 picks per inch: (280,761 X 51.4) -^ 50 = 288,622. On the other hand, the 347,241 yards woven in the Bayard Mills averaged 44.29 picks per inch. This is WOOL COST FINDING 31 equivalent to 307,586 standard yards of 50 picks per inch: (347,241 X 44-29) ^ 50 = 307»586. In the former case the standard yardage is greater than the actual because the average picks, 51.4, are in ■^^M / (U/yaLAtt*OUit (P/k.^.'tl^^Ji^ C7*^^9-J dx/iand^ , CO *f^. .V4 yj" ^siS/y 2v^3 J-a.x/ /STL, /% 7 t^oL. SffW .,^,pM^j_t 6a 9 "I^W. % 1§ . . i???:?^:^ "ZEZH ^ ^ "/'yx^ (TJJi •S^oo n- ,oc ^^. .oofO'^ .aOfUp- 7Z 99 // ,C06 5f5;.... on T^TS^ >$? ,/iss-Sp^, Fig. 2. Record of Production and Cost 32 WOOL COST FINDING excess of the standard of 50. In the latter case the standard yardage is less than the actual because the '^' ^i.^rxm^ S-oJ^^A^tX^rnA/iA' A' (tK-^-^Lzj^.^ ^Oy^^-^ .^Sfrf.. ?2 . (1 .^ / J3Q3 fi //V>^'Zy^ ^ 3 2. c A^ >x^/!u^ ^^fiaAT^ntA'M' ^A^V^:^ ^CLyct^^no o/nci Jijt^^itS2l% (P^v.oJ>cte.tuo ^ ^ojO^t, Gx/^mH Q/tAe/jUtyoZ ^a/rty-x (Sy/ui^H^ a/ .006 3 0, w JZf^y c/6-s^ s^ 7J}. iX 'm^M:'.\'^i'>i zy/^^ V. 7' %o ^f/y!-^ 7P^U "71 Z9 ¥^3 'i>~8^'Jd Te'icZ^. '"/'St sz ,OOCJ, .oooZ"^ I- copc¥dl ~p/pIlL TocoiST, 93 9 f ^7 toc^n^'Oc/SjUl Fig. 4. Record of Production and Cost The cost of dyeing should be estimated separately for each fabric owing to the wide variations in this item. The day labor in the weave room is treated as a fixed charge. 38 WOOL COST FINDING Cost of Each Fabric The regular reports, monthly, semi-annual or an- nual, show the production, total cost and average cost per unit of production in each department and for each item of general expense. These records not only show the operations of the mill and enable comparisons to be made between different mills, but they also supply the basis for estimating the cost of each fabric. These estimates of cost are made for the fabrics manufactured in the mill, in order that the proportion- ate cost that should be borne by each may be known and the selling price fixed accordingly. The estimates of cost are also made for fabrics manufactured in other mills in order that the manufacturer may be able to judge intelligently of the competition he has to meet, or may be able to decide whether a given fabric, if made in his mill, would be likely to yield a profit. The statistical uses of the cost records have already been explained and it now remains to illustrate the estimates of cost based on the mill records. The method of estimating cost is shown at Fig. 5, which is an estimate of the cost of. a cotton warp fabric. The style number, woven and finished widths and weights, and the dressed, woven and finished lengths of the piece, are first given. Then comes the estimate of ihe quantity and cost of the stock to make a cut of the cloth. The quantities of yarn required are calculated by the methods explained in ''Straight Line" Textile Calculations. WOOL COST FINDING Raw Material Cost 39 The prices for the materials are fixed by the manu- facturer to conform to the market conditions on which he wants the estimate based. It may be desirable to ^'' ^7 ESTIMATE OF COST OaU, <^^f?.f9*^ T STYLE. ^7^^ IV^rveH. ^7 " PinisM, ^^^- Fimir/ud, J~J-^ , Fuushtd. ^^^ ' STOCK. sfzr tjfe*. "«»•' J^ ■TC;r MUCM. Ts-lfrCm ttiHiOKB Of smcr. So iVlf.^/^ 9^ SL¥- OS •/SS 23:3 M^^ffUFACTURING. ,/;«5 >/. f. LMmr. S^tSM. cxyXOi aoy Cos C3X¥ 002C ooes 00^4, 0/62. T0X41 nit cut: \JZS Q-C TotalA /3t|av7l ^A^^ C34 3.2. ii4.S- 03J /OS srr *77 COST PER FINISHED YARD. Slock. '7^^ Tctcl/'^^'^ Fig. 5. Estimated Cost of a Cotton Warp Fabric 40 WOOL COST FINDING base the estimate on the actual cost of the raw stock or on the cost of the material if purchased when the esti- mate is made and which may be above or below pre- vailing prices. When two or more grades of stock are mixed to- gether before manufacturing, the average cost is calcu- lated in the column headed ''Mixture of Stock," allow- ance being made for shrinkage from raw stock to yarn and for the value of the by-products. The result is the cost of stock per pound of yarn, at which the respective quantities are extended in the columns headed "Stock." The total cost of raw material per cut of cloth is found by adding the items as shown. Cost of Manufacturing Next comes the cost of manufacturing. The method consists in first calculating the material that must be passed through each department of the mill to make a cut of cloth. The estimate for the fixed charges is based on the production of the looms as measured in standard yards of cloth with 50 picks per inch. Accordingly the woven length, 37 yards, is placed opposite each item of general expense and ex- tended at the proportionate price per standard yard. Take for illustration the cost for general labor. The mill record shows this item to be $.027 per standard yard of 50 picks per inch. The fabric, Style 3704, is woven with 60 picks, making it necessary to increase the average cost per standard yard by 20 per cent. Thus: ($.27 X 60) -^ 50 = $.0324, general labor per yard. It is not necessary to make this calculation for every estimate. After the averages per standard yard for WOOL COST FINDING 4t the various items are obtained from the mill records, they are increased or decreased to correspond to differ- ent filling sets, say from 20 to 70 picks, and arranged in tabular form so as to be ready for use when re- quired. For example, the average per yard for gen- eral labor would be $.0216 for 40 picks; $.027 for 50 picks; $.0324 for 60 picks; with other filling sets in proportion. The quantities of material passed through each de- partment to make a cut of the cloth, having been en- tered in the column headed ''Quantity per Cut,'' are extended as shown at Fig. 5, at the respective cost averages obtained from the mill records, the amounts being entered under ''Labor" and "Supplies." The general expense items are extended and entered in liic same columns. The total of these extensions is the cost per cut for labor and for expense. We now have estimated the cost per cut for raw material, labor and supplies, the cost per finished yard being found by dividing these totals 1)y the number of yards in a finished cut : Stock $24.08 ^33.3 = $ .723 per yard Labor 12.22 -r- 33.3 = $ .367 per yard Supplies 4.46 -^ 33.3 = $ .134 per yard Cost per finished yard 1.224 The cost thus found covers all expenses for stock and manufacturing at the mill and is the estimated cost of the cloth as it leaves the mill. The cost of selling, which is estimated separately, is usually based on the selling price of the goods. If, for example, the sell- ing cost has been found to be 20 per cent, of the sell- 42 WOOL COST FINDING ing price, the total cost of the cloth, Style 3,704, in- cluding selling expenses, will be: 1.224 -^ .80 = $1.53. Any increase of the selling price above this cost rep- resents profit subject to the deduction of 20 per cent, for the cost of selling. If, for example, this style, 3,704, was sold for $2.00 per yard, the profit would be as follows : Selling price $2.00 Selling cost .40 1.60 Mill cost 1.224 Profit .376 The blank form used for the estimate at Fig. 5 can be dispensed with if desired. After the cost averages have been obtained from the mill records and the method of estimating is clearly understood, it is pos- sible to enter these estimates in an ordinary blank book, say 5 in. X 8 in., abbreviating many of the operations without impairing their accuracy. Time is saved in this way and the estimates are kept together in a con- venient form for reference and comparison. Figs. 6 and 7 are estimates made in this way for a woolen frieze and worsted serge. The dressed, woven and finished lengths of a cut are at the left of the style num- ber. The percentages below the stock mixture are for the losses in manufacturing, the first from loose stock to yarn, and the next from yarn to finished cloth. The quantity of stock is calculated from the finished weight and percentage of loss, this method, w^hich is both ac- curate and direct, being possible only when the fabric is made of one mixture throughout. Take for illus- tration Style 624, Fig. 6: WOOL COST FINDING 43 34 (ozs.) -^ .84 = 40.5 ozs. yarn 40.5 (ozs.) -^ .70= 57.8 ozs. stock The accuracy of this result depends upon the accu- racy with which the losses between raw stock and yarn ¥^, 3&, scr, 6> 2 "^^^^^flLe S^^^iSSr" ^J^n^iiJ^Sc^ ^ C*/-^ ^X3 //^/ /7d 3^'r:^^C^ 3G OZ^ CZS /,Of 0OO id)2i^ /.%z3 Fig. 6. Estimated Cost of a Frieze and between yarn and cloth are determined. These percentages can be determined closely by tests of goods going through the mill. 44 WOOL COST FINDING Cost of Manufacturing Worsted Yam When worsted spinning and weaving are carried on in the same mill, it will generally be found more satis- factory to separate the cost account of the worsted de- partment, calculate the cost of worsted yarn per pound, ^s;^^, '/4> , y'^*^*i^ ^fe^o^Jli^ ' C^>A«*^«^^«^ ^Xy^*-^^ (Qrx^pjuuJi ^I^ ¥0 ^/< 02. ^S/i-S-/ Ctotif. r9^7- ^^/>fZ^ z<^62o ^e 0/ 2^ 00 /eooo 9^ iff £2- €l iL ^M^. o/j%e^ Fig. 8. Record of Production and Cost in a Woolen Yarn Mill treated as an entirely distinct part of the business. If this is done a separate system of production and cost records should be kept for the worsted yarn depart- ment, but based on the same general principles as for the remainder of the mill. This method is illustrated by the accompanying report, Fig. 4, of the production and cost of the worsted yarn department of the Chan- tilly Worsted Mills, for which the report covering all the operations has already been shown. The production of the spinning frames in hanks of 46 WOOL COST FINDING 560 yards is taken as a basis for calculating the fixed charges. This unit, the hank, is the standard of pro- duction for worsted yarn, as the yard of 50 picks per inch is the standard for cloth. Cost of Manufacturing Woolen Yarn When woolen yarn is spun and woven into cloth in the same mill one estimate of cost covers all the proc- esses from raw stock to finished goods, without sep- arating the cost of the yarn, as in the case of worsted. In a spinning mill making woolen yarn only, it be- comes necessary to estimate the cost of the yarn, the method being based on the principles already explained. The cost of the raw material is calculated from the cost of the picked stock per pound and the shrinkage in carding, spinning and twisting. The cost of manufac- turing is found by calculating the quantity of material that must be passed through each process to make a given quantity of yarn, say 1,000 lbs., and by extend- ing these quantities at the respective cost averages ob- tained from the production and cost records of the mill. The production of the mules in runs of 1,600 yards is taken as a basis for apportioning the cost of the fixed charges. This unit, the run, is the standard of production for woolen yarn, as the yard of 50 picks per inch is for cloth, and the hank of 560 yards is for worsted yarn. As the method of calculating the cost of yarn is based on the same principles as those already explained in estimating the cost of cloth, we will, instead of re- peating that explanation here, give a few examples in estimating the cost of carded woolen yarn. WOOL COST FINDING 47 Fig. 8 is the production and cost statement of a woolen yarn mill running on yarns varying from 3 to 6 runs. This statement is similar to those at Figs, i, 2, 3, and 4, showing the production and cost at each process and the amount of the fixed charges. The cost averages are based on the respective production units, that for the fixed charges being the run of 1,600 yards. //S:u.t ^oy.// Fig. 9. Estimated Cost of Woolen Yarn Having compiled this production and cost record of the mill, calculating the cost of any particular size or kind of yarn made in the mill becomes an easy matter. 48 WOOL COST FINDING Fig. 9 is an estimate of a 5-run wool-dyed yarn. First conies the stock mixture and price per pound. From this and the shrinkage, 18 per cent., in weight, the cost of raw stock per pound of yarn is found to be $1,163. Next comes the cost of manufacturing. The quan- tity of material that must be run through each process in order to produce i ,000 lbs. of yarn is calculated and extended at the respective cost averages for labor and d^Ljo ^77^* co/S^ ^006 <'^y '^^ ($4UtpCiui^J»C^,COS'3 ^^2L/ /