Taylor Company produces two industrial cleansers that use the same liquid chemical input: Pocolimpio and Maslimpio. Pocolimpio uses two quarts of the chemical for every unit produced, and Maslimpio uses five quarts. Currently, Taylor has 6,000 quarts of the material in inventory. All of the material is imported. For the coming year, Taylor plans to import 6,000 quarts to produce 1,000 units of Pocolimpio and 2,000 units of Maslimpio. The detail of each product’s unit contribution margin is as follows:
Taylor Company has received word that the source of the material has been shut down by embargo. Consequently, the company will not be able to import the 6,000 quarts it planned to use in the coming year’s production. There is no other source of the material.
Required:
- 1. Compute the total contribution margin that the company would earn if it could import the 6,000 quarts of the material.
- 2. Determine the optimal usage of the company’s inventory of 6,000 quarts of the material. Compute the total contribution margin for the product mix that you recommend.
- 3. Assume that Pocolimpio uses three direct labor hours for every unit produced and that Maslimpio uses two hours. A total of 6,000 direct labor hours is available for the coming year.
- a. Formulate the linear programming problem faced by Taylor Company. To do so, you must derive mathematical expressions for the objective function and for the materials and labor constraints.
- b. Solve the linear programming problem using the graphical approach.
- c. Compute the total contribution margin produced by the optimal mix.
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Chapter 20 Solutions
Cornerstones of Cost Management (Cornerstones Series)
- ABC Chemical Company manufactures industrial chemicals. The company plans to introduce a new chemical solution and needs to develop a standard product cost. The new chemical solution is made by combining a chemical compound (nyclyn) with a solution (salex), heating the mixture to boiling point, adding a second compound (protet), and bottling the resulting solution in 15-litre containers. The initial mix, which is 12 litres in volume, consists of 14 kilograms of nyclyn and 11.6 litres of salex. A 1-litre reduction in volume occurs during the boiling process. The solution is cooled slightly before 8 kilograms of protet are added. The protet evaporates, so it does not affect the total liquid volume. The purchase prices of the raw materials used in the manufacture of this new chemical solution are as follows: Nyclyn $4.90 per kilogram Salex $5.60 per litre Protet $6.80 per kilogram a. 102.36 b. None of the answers given c. 98.36 d. 93.36arrow_forwardShalom Company manufactures and sells Peace products. During the year, the company estimated for the production and sale of 15,000 units of Peace products. Each unit requires 1.50 kilos of direct material at a cost of P8 per pound. It takes 15 minutes to manufacture each unit of Peace product at a cost of P0.18 per minute. At the end of the current year, Shalom had produced and sold 16,000 Peace products for P50 per unit. The actual costs for direct materials and direct labor were P179,200, and P44,800, respectively. In your flexible budget performance report, identify the difference between budgeted and actual costs and indicate as favorable or unfavorable. Format should be: 8,000 F or 8,000 UF No need to indicate if the amount is positive or negative. direct materialsarrow_forwardBetram Chemicals Company processes a number of chemical compounds used in producing industrial cleaning products. One compound is decomposed into two chemicals: anderine and dofinol. The cost of processing one batch of compound is $73,000, and the result is 5,900 gallons of anderine and 8,200 gallons of dofinol. Betram Chemicals can sell the anderine at split-off for $12.00 per gallon and the dofinol for $6.30 per gallon. Alternatively, the anderine can be processed further at a cost of $7.90 per gallon (of anderine) into cermine. It takes 4 gallons of anderine for every gallon of cermine. A gallon of cermine sells for $65.arrow_forward
- Shalom Company manufactures and sells Peace products. During the year, the company estimated for the production and sale of 15,000 units of Peace products. Each unit requires 1.50 kilos of direct material at a cost of P8 per pound. It takes 15 minutes to manufacture each unit of Peace product at a cost of PO.18 per minute. At the end of the current year, Shalom had produced and sold 16,000 Peace products for P50 per unit. The actual costs for direct materials and direct labor were P179,200, and P44,800, respectively. In your flexible budget performance report, identify the difference between budgeted and actual costs and indicate as favorable or unfavorable. Format should be: 8,000 F or 8,000 UF No need to indicate if the amount is positive or negative.arrow_forwardPlease help mearrow_forwardBetram Chemicals Company processes a number of chemical compounds used in producing industrial cleaning products. One compound is decomposed into two chemicals: anderine and dofinol. The cost of processing one batch of compound is $70,500, and the result is 5,600 gallons of anderine and 8,300 gallons of dofinol. Betram Chemicals can sell the anderine at split-off for $10.00 per gallon and the dofinol for $6.95 per gallon. Alternatively, the anderine can be processed further at a cost of $7.30 per gallon (of anderine) into cermine. It takes 4 gallons of anderine for every gallon of cermine. A gallon of cermine sells for $61. 1. What if the production of anderine into cermine required additional purchasing and quality inspection activity? Every 520 gallons of anderine that undergo further processing require 18 more purchase orders at $12 each and 16 more quality inspection hours at $22 each. Which alternative would be better and by how much?NOTE: Round interim calculations and your…arrow_forward
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- Treaty Treat, Inc., purchases soybeans and processes them into the following three types of products: dog biscuits, cat food, and chicken feed. These products are the result of a joint process. In a typical month, there are total joint costs of $191,000. The dog biscuits and chicken feed are sold after being pressed into various shapes without further processing by TreatyTreat. (i.e. the fully- processed sales price is the same as the sales price at the point of split-off.) The cat food must be further mixed with vitamins. If the cat food spoils during the vitamin-adding process, the product can still be sold for fertilizer at $2.70 per unit. (Hint, this would be the sales value of the cat food at the split-off point.) The additional processing of cat food costs TreatyTreat $13,700 per month. Product yield and average sales value on a per-unit basis from the joint processes are as follows: Monthly Fully Processed Sales Price $9 Product Dog Biscuits Cat Food Chicken Feed Output 53,000…arrow_forwardHarcourt Manufacturing (HM) has the capacity to produce 11,800 fax machines per year. HM currently produces and sells 8,800 units per year. The fax machines normally sell for $280 each. Modem Products has offered to buy 3,800 fax machines from HM for $150 each. Unit-level costs associated with manufacturing the fax machines are $51 each for direct labor and $76 each for direct materials. Product-level and facility-level costs are $68,000 and $83,000, respectively. How much would profit increase (decrease) if HM accepted this special order?arrow_forwardAutry Company manufactures veterinary products. One joint process involves refining a chemical (dactylyte) into two chemicals − dac and tyl. One batch of 5,000 gallons of dactylyte can be converted to 2,000 gallons of dac and 3,000 gallons of tyl at a total joint processing cost of $12,000. At the split-off point, dac can be sold for $3 per gallon and tyl can be sold for $4 per gallon. Autry has just learned of a new process to convert dac into prodac. The new process costs $4,000 and yields 1,700 gallons of prodac for every 2,000 gallons of dac. Prodac sells for $5 per gallon. What is Autry's profit from refining one batch of dactylyte if both dac and tyl are sold at the split-off point? $7,000 $6,000 $15,000 $12,000 $18,000arrow_forward
- Cornerstones of Cost Management (Cornerstones Ser...AccountingISBN:9781305970663Author:Don R. Hansen, Maryanne M. MowenPublisher:Cengage Learning