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)
- Ingles Corporation is a manufacturer of tables sold to schools, restaurants, hotels, and other institutions. The table tops are manufactured by Ingles, but the table legs are purchased from an outside supplier. The Assembly Department takes a manufactured table top and attaches the four purchased table legs. It takes 16 minutes of labor to assemble a table. The company follows a policy of producing enough tables to ensure that 40 percent of next months sales are in the finished goods inventory. Ingles also purchases sufficient materials to ensure that materials inventory is 60 percent of the following months scheduled production. Ingless sales budget in units for the next quarter is as follows: Ingless ending inventories in units for July 31 are as follows: Required: 1. Calculate the number of tables to be produced during August. 2. Disregarding your response to Requirement 1, assume the required production units for August and September are 2,100 and 1,900, respectively, and the July 31 materials inventory is 4,000 units. Compute the number of table legs to be purchased in August. 3. Assume that Ingles Corporation will produce 2,340 units in September. How many employees will be required for the Assembly Department in September? (Fractional employees are acceptable since employees can be hired on a part-time basis. Assume a 40-hour week and a 4-week month.) (CMA adapted)arrow_forwardVollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: The shaper is available for 120 hours, and the grinder for 110 hours. No more than 200 units of component 3 can be sold, but up to 1,000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are 8, 6, and 9, respectively. a. Formulate and solve for the recommended production quantities. b. What are the objective coefficient ranges for the three components? Interpret these ranges for company management. c. What are the right-hand-side ranges? Interpret these ranges for company management. d. If more time could be made available on the grinder, how much would it be worth? e. If more units of component 3 can be sold by reducing the sales price by 4, should the company reduce the price?arrow_forwardBlakes Blacksmith Co. produces two types of shotguns, a 12-gauge and 20-gauge. The shotguns are made through a joint production process that ultimately produces 30 12-gauge shotguns and 20 20-gauge shotguns and costs a total of 4,000 per batch. After the split-off point, each type of shotgun goes through an additional crafting process before it is sold. The additional production process of the 12-gauge shotgun costs 30 per gun, after which it is sold for 180 per gun. The additional production process of the 20-gauge shotgun costs 25 per gun, after which it is sold for 150 per gun. Determine the amount of joint production costs allocated to each type of shotgun using the physical units method.arrow_forward
- Pharmaco Corporation buys three chemicals that are processed to produce two popular ingredients for liquid pain relievers. The three chemicals are in liquid form. The purchased chemicals are blended for two to three hours and then heated for 15 minutes. The results of the process are two separate ingredients, PR1 and PR2. For every 4,300 gallons of chemicals used, 2,000 gallons of each pain reliever are produced. The pain relievers are sold to companies that process them into their final form. The selling prices are 34 per gallon for PR1 and 45 per gallon for PR2. The costs to produce one batch (containing 2,000 gallons of each chemical) are as follows: The pain relievers are bottled in five-gallon plastic containers and shipped. The cost of each container is 2.10. The costs of shipping are 0.50 per container. Pharmaco Corporation could process PR1 further by mixing it with inert powders and flavoring to form tablets. The tablets can be sold directly to retail drug stores as a generic brand. If this route is taken, the revenue received per case of tablets would be 13.50, with eight cases produced by every gallon of PR 1. The costs of processing into tablets total 11.00 per gallon of PR1. Packaging costs 5.16 per case. Shipping costs are 1.68 per case. Required: 1. Should Pharmaco sell PR1 at split-off, or should PR1 be processed and sold as tablets? 2. If Pharmaco normally sells 26,000 gallons of PR1 per year, what will be the difference in profits if PR1 is processed further?arrow_forwardCarsen Company produces handcrafted pottery that uses two inputs: materials and labor. During the past quarter, 24,000 units were produced, requiring 96,000 pounds of materials and 48,000 hours of labor. An engineering efficiency study commissioned by the local university revealed that Carsen can produce the same 24,000 units of output using either of the following two combinations of inputs: The cost of materials is 8 per pound; the cost of labor is 12 per hour. Required: 1. Compute the output-input ratio for each input of Combination F1. Does this represent a productivity improvement over the current use of inputs? What is the total dollar value of the improvement? Classify this as a technical or an allocative efficiency improvement. 2. Compute the output-input ratio for each input of Combination F2. Does this represent a productivity improvement over the current use of inputs? Now, compare these ratios to those of Combination F1. What has happened? 3. Compute the cost of producing 24,000 units of output using Combination F1. Compare this cost to the cost using Combination F2. Does moving from Combination F1 to Combination F2 represent a productivity improvement? Explain.arrow_forwardComputador has a manufacturing plant in Des Moines that has the theoretical capability to produce 243,000 laptops per quarter but currently produces 91,125 units. The conversion cost per quarter is 7,290,000. There are 60,750 production hours available within the plant per quarter. In addition to the processing minutes per unit used, the production of the laptops uses 10 minutes of move time, 20 minutes of wait time, and 5 minutes of rework time. (All work is done by cell workers.) Required: 1. Compute the theoretical and actual velocities (per hour) and the theoretical and actual cycle times (minutes per unit produced). 2. Compute the ideal and actual amounts of conversion cost assigned per laptop. 3. Calculate MCE. How does MCE relate to the conversion cost per laptop?arrow_forward
- Man OFort Inc. produces two different styles of door handles, standard and curved. The door handles go through a joint production molding process costing 29,000 per batch and producing 2,000 standard door handles and 1,000 curved door handles at the split-off point. Both door handles undergo additional production processes after the split-off point, but could be sold at that point: the standard style for 4 per door handle and the curved style for 2 per door handle. Determine the amount of joint production costs allocated to each style of door handle using the market value at split-off method.arrow_forwardBox Springs, Inc., makes two sizes of box springs: twin and double. The direct material for the twin is $25 per unit and $40 s used in direct labor, while the direct material for the double is $40 per unit, and the labor cost is $50 per unit. Box Springs estimates it will make 5,000 twins and 9,000 doubles in the next year. It estimates the overhead for each cost pool and cost driver activities as follows: How much does each unit cost to manufacture?arrow_forwardElliott, Inc., has four salaried clerks to process purchase orders. Each clerk is paid a salary of 25,750 and is capable of processing as many as 6,500 purchase orders per year. Each clerk uses a PC and laser printer in processing orders. Time available on each PC system is sufficient to process 6,500 orders per year. The cost of each PC system is 1,100 per year. In addition to the salaries, Elliott spends 27,560 for forms, postage, and other supplies (assuming 26,000 purchase orders are processed). During the year, 25,350 orders were processed. Required: 1. Classify the resources associated with purchasing as (1) flexible or (2) committed. 2. Compute the total activity availability, and break this into activity usage and unused activity. 3. Calculate the total cost of resources supplied (activity cost), and break this into the cost of activity used and the cost of unused activity. 4. (a) Suppose that a large special order will cause an additional 500 purchase orders. What purchasing costs are relevant? By how much will purchasing costs increase if the order is accepted? (b) Suppose that the special order causes 700 additional purchase orders. How will your answer to (a) change?arrow_forward
- Carltons Kitchens makes two types of pasta makers: Strands and Shapes. The company expects to manufacture 70,000 units of Strands, which has a per-unit direct material cost of $10 and a per-unit direct labor cost of $60. It also expects to manufacture 30.000 units of Shapes, which has a per-unit material cost of $15 and a per-unit direct labor cost of $40. It is estimated that Strands will use 140,000 machine hours and Shapes will require 60,000 machine hours. Historically, the company has used the traditional allocation method and applied overhead at a rate of $21 per machine hour. It was determined that there were three cost pools, and the overhead for each cost pool is shown: The cost driver for each cost pool and its expected activity is shown: A. What is the per-unit cost for each product under the traditional allocation method? B. What is the per-unit cost for each product under ABC costing?arrow_forwardPratt Company produces two replacement parts for a popular line of Blu-ray disc players: Part A and Part B. Part A is made up of two components, one manufactured internally and one purchased from external suppliers. Part B is made up of three components, one manufactured internally and two purchased from suppliers. The company has two processes: fabrication and assembly. In fabrication, the internally produced components are made. Each component takes 20 minutes to produce. In assembly, it takes 30 minutes to assemble the components for Part A and 40 minutes to assemble the components for Part B. Pratt Company operates one shift per day. Each process employs 100 workers who each work eight hours per day. Part A earns a unit contribution margin of 20, and Part B earns a unit contribution margin of 24 (calculated as the difference between revenue and the cost of materials and energy). Pratt can sell all that it produces of either part. There are no other constraints. Pratt can add a second shift of either process. Although a second shift would work eight hours, there is no mandate that it employ the same number of workers. The labor cost per hour for fabrication is 15, and the labor cost per hour for assembly is 12. Required: 1. Identify the constraints facing Pratt, and graph them. How many binding constraints are possible? What is Pratts optimal product mix? What daily contribution margin is produced by this mix? 2. What is the drummer constraint? How much excess capacity does the other constraint have? Assume that a 1.5-day buffer inventory is needed to deal with any production interruptions. Describe the drum-buffer-rope concept using the Pratt data to illustrate the process. 3. Explain why the use of local labor efficiency measures will not work in Pratts TOC environment. 4. Suppose Pratt decides to elevate the binding constraint by adding a second shift of 50 workers (labor rates are the same as those of the first shift). Would elevation of Pratts binding constraint improve its system performance? Explain with supporting computations.arrow_forwardZippy Inc. manufactures a fuel additive, Surge, which has a stable selling price of 44 per drum. The company has been producing and selling 80,000 drums per month. In connection with your examination of Zippys financial statements for the year ended September 30, management has asked you to review some computations made by Zippys cost accountant. Your working papers disclose the following about the companys operations: Standard costs per drum of product manufactured: Materials: Costs and expenses during September: Chemicals: 645,000 gallons purchased at a cost of 1,140,000; 600,000 gallons used. Empty drums: 94,000 purchased at a cost of 94,000; 80,000 drums used. Direct labor: 81,000 hours worked at a cost of 816,480. Factory overhead: 768,000. Required: Calculate the following for September, using the formulas on pages 421422 and 424 (Round unit costs to the nearest whole cent and compute the materials variances for both Surge and for the drums.): 1. Materials quantity variance. 2. Materials purchase price variance. 3. Labor efficiency variance. 4. Labor rate variance.arrow_forward
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