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Theory of constraints, throughput margin, and relevant costs. Washington Industries manufactures electronic testing equipment. Washington also installs the equipment at customers’ sites and ensures that it functions smoothly. Additional information on the manufacturing and installation departments is as follows (capacities are expressed in terms of the number of units of electronic testing equipment):
Equipment Manufactured | Equipment Installed | |
Annual capacity | 285 units per year | 250 units per year |
Equipment manufactured and installed | 250 units per year | 250 units per year |
Washington manufactures only 250 units per year because the installation department has only enough capacity to install 250 units. The equipment sells for $55,000 per unit (installed) and has direct material costs of $30,000. All costs other than direct material costs are fixed. The following requirements refer only to the preceding data. There is no connection between the requirements.
- 1. Washington’s engineers have found a way to reduce equipment manufacturing time. The new method would cost an additional $500 per unit and would allow Washington to manufacture 30 additional units a year. Should Washington implement the new method? Show your calculations.
- 2. Washington’s designers have proposed a change in direct materials that would increase direct material costs by $2,000 per unit. This change would enable Washington to install 285 units of equipment each year. If Washington makes the change, it will implement the new design on all equipment sold. Should Washington use the new design? Show your calculations.
- 3. A new installation technique has been developed that will enable Washington’s engineers to install 7 additional units of equipment a year. The new method will increase installation costs by $145,000 each year. Should Washington implement the new technique? Show your calculations.
- 4. Washington is considering how to motivate workers to improve their productivity (output per hour). One proposal is to evaluate and compensate workers in the manufacturing and installation departments on the basis of their productivities. Do you think the new proposal is a good idea? Explain briefly.
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- The management of Wheeler Company has decided to develop cost formulas for its major overhead activities. Wheeler uses a highly automated manufacturing process, and power costs are a significant manufacturing cost. Cost analysts have decided that power costs are mixed; thus, they must be broken into their fixed and variable elements so that the cost behavior of the power usage activity can be properly described. Machine hours have been selected as the activity driver for power costs. The following data for the past eight quarters have been collected: Required: 1. Prepare a scattergraph by plotting power costs against machine hours. Does the scatter-graph show a linear relationship between machine hours and power cost? 2. Using the high and low points, compute a power cost formula. 3. Use the method of least squares to compute a power cost formula. Evaluate the coefficient of determination. 4. Rerun the regression and drop the point (20,000; 26,000) as an outlier. Compare the results from this regression to those for the regression in Requirement 3. Which is better?arrow_forwardEvans, Inc., has a unit-based costing system. Evanss Miami plant produces 10 different electronic products. The demand for each product is about the same. Although they differ in complexity, each product uses about the same labor time and materials. The plant has used direct labor hours for years to assign overhead to products. To help design engineers understand the assumed cost relationships, the Cost Accounting Department developed the following cost equation. (The equation describes the relationship between total manufacturing costs and direct labor hours; the equation is supported by a coefficient of determination of 60 percent.) Y=5,000,000+30X,whereX=directlaborhours The variable rate of 30 is broken down as follows: Because of competitive pressures, product engineering was given the charge to redesign products to reduce the total cost of manufacturing. Using the above cost relationships, product engineering adopted the strategy of redesigning to reduce direct labor content. As each design was completed, an engineering change order was cut, triggering a series of events such as design approval, vendor selection, bill of materials update, redrawing of schematic, test runs, changes in setup procedures, development of new inspection procedures, and so on. After one year of design changes, the normal volume of direct labor was reduced from 250,000 hours to 200,000 hours, with the same number of products being produced. Although each product differs in its labor content, the redesign efforts reduced the labor content for all products. On average, the labor content per unit of product dropped from 1.25 hours per unit to one hour per unit. Fixed overhead, however, increased from 5,000,000 to 6,600,000 per year. Suppose that a consultant was hired to explain the increase in fixed overhead costs. The consultants study revealed that the 30 per hour rate captured the unit-level variable costs; however, the cost behavior of other activities was quite different. For example, setting up equipment is a step-fixed cost, where each step is 2,000 setup hours, costing 90,000. The study also revealed that the cost of receiving goods is a function of the number of different components. This activity has a variable cost of 2,000 per component type and a fixed cost that follows a step-cost pattern. The step is defined by 20 components with a cost of 50,000 per step. Assume also that the consultant indicated that the design adopted by the engineers increased the demand for setups from 20,000 setup hours to 40,000 setup hours and the number of different components from 100 to 250. The demand for other non-unit-level activities remained unchanged. The consultant also recommended that management take a look at a rejected design for its products. This rejected design increased direct labor content from 250,000 hours to 260,000 hours, decreased the demand for setups from 20,000 hours to 10,000 hours, and decreased the demand for purchasing from 100 component types to 75 component types, while the demand for all other activities remained unchanged. Required: 1. Using normal volume, compute the manufacturing cost per labor hour before the year of design changes. What is the cost per unit of an average product? 2. Using normal volume after the one year of design changes, compute the manufacturing cost per hour. What is the cost per unit of an average product? 3. Before considering the consultants study, what do you think is the most likely explanation for the failure of the design changes to reduce manufacturing costs? Now use the information from the consultants study to explain the increase in the average cost per unit of product. What changes would you suggest to improve Evanss efforts to reduce costs? 4. Explain why the consultant recommended a second look at a rejected design. Provide computational support. What does this tell you about the strategic importance of cost management?arrow_forwardLarsen, Inc., produces two types of electronic parts and has provided the following data: There are four activities: machining, setting up, testing, and purchasing. Required: 1. Calculate the activity consumption ratios for each product. 2. Calculate the consumption ratios for the plantwide rate (direct labor hours). When compared with the activity ratios, what can you say about the relative accuracy of a plantwide rate? Which product is undercosted? 3. What if the machine hours were used for the plantwide rate? Would this remove the cost distortion of a plantwide rate?arrow_forward
- Gumbrecht Company has the following departmental manufacturing layout for one of its plants: A consulting firm has recommended a value stream with the following manufacturing cell: Required: 1. Calculate the total time it takes to produce a batch of 20 units using the traditional departmental manufacturing layout. 2. Using cellular manufacturing, how much time is saved producing the same batch of 20 units? Assuming the cell operates continuously, what is the production rate? Which process controls this production rate? 3. Assume the processing time of Casting is reduced to 9 minutes, while the times of the other processes stay the same. What is the production rate now, and how long will it take to produce a batch of 20 units if the cell is in a continuous production mode?arrow_forwardAnderson Company has the following departmental manufacturing structure for one of its products: After some study, the production manager of Anderson recommended the following revised cellular manufacturing approach: Required: 1. Calculate the total time it takes to produce a batch of 20 units using Andersons traditional departmental structure. 2. Using cellular manufacturing, how much time is saved producing the same batch of 20 units? Assuming the cell operates continuously, what is the production rate? Which process controls this production rate? 3. What if the processing times of molding, welding, and assembly are all reduced to six minutes each? What is the production rate now, and how long will it take to produce a batch of 20 units?arrow_forwardBienestar Inc., has the following departmental structure for producing a well-known multivitamin: A consultant designed the following cellular manufacturing structure for the same product: The times above the processes represent the time required to process one unit of product. Required: 1. Calculate the time required to produce a batch of 15 bottles using a batch-processing departmental structure. 2. Calculate the time to process 15 units using cellular manufacturing. 3. How much manufacturing time will the cellular manufacturing structure save for a batch of 15 units?arrow_forward
- In 20x2, Choctaw Company implements a new process affecting labor and materials. The following reported data are provided to evaluate the effect on the companys productivity: Required: 1. Calculate the productivity profile for 20x1. 2. Calculate the productivity profile for 20x2, and comment on the effect of the new production and assembly process. 3. What if the labor hours used in 20x2 were 112,500? What does comparison of the 20x1 and 20x2 profiles now communicate?arrow_forwardAssume that at the beginning of 20x2, Cicleta trained the 2 assembly workers in a new approach that had the objective of increasing the efficiency of the assembly process. Cicleta also began moving toward a JIT purchasing and manufacturing system. When JIT is fully implemented, the demand for expediting is expected to be virtually eliminated. It is expected to take two to three years for full implementation. Assume that receiving cost is a step-fixed cost with steps of 1,500 orders. The other three activities employ resources that are acquired as used and needed. At the end of 20x2, the following results were reported for the four activities: Required: 1. Prepare a trend report that shows the non-value-added costs for each activity for 20x1 and 20x2 and the change in costs for the two periods. Discuss the reports implications. 2. Explain the role of activity reduction for receiving and for expediting. What is the expected value of SQ for each activity after JIT is fully implemented? 3. What if at the end of 20x2, the selling price of a competing product is reduced by 27 per unit? Assume that the firm produces and sells 20,000 units of its product and that its product is associated only with the four activities being considered. By virtue of the waste-reduction savings, can the competitors price reduction be matched without reducing the unit profit margin of the product that prevailed at the beginning of the year? If not, how much more waste reduction is needed to achieve this outcome? In this case, what price decision would you recommend?arrow_forwardJolene Askew, manager of Feagan Company, has committed her company to a strategically sound cost reduction program. Emphasizing life-cycle cost management is a major part of this effort. Jolene is convinced that production costs can be reduced by paying more attention to the relationships between design and manufacturing. Design engineers need to know what causes manufacturing costs. She instructed her controller to develop a manufacturing cost formula for a newly proposed product. Marketing had already projected sales of 25,000 units for the new product. (The life cycle was estimated to be 18 months. The company expected to have 50 percent of the market and priced its product to achieve this goal.) The projected selling price was 20 per unit. The following cost formula was developed: Y=200,000+10X1 where X1=Machinehours(Theproductisexpectedtouseonemachinehourforeveryunitproduced.) Upon seeing the cost formula, Jolene quickly calculated the projected gross profit to be 50,000. This produced a gross profit of 2 per unit, well below the targeted gross profit of 4 per unit. Jolene then sent a memo to the Engineering Department, instructing them to search for a new design that would lower the costs of production by at least 50,000 so that the target profit could be met. Within two days, the Engineering Department proposed a new design that would reduce unit-variable cost from 10 per machine hour to 8 per machine hour (Design Z). The chief engineer, upon reviewing the design, questioned the validity of the controllers cost formula. He suggested a more careful assessment of the proposed designs effect on activities other than machining. Based on this suggestion, the following revised cost formula was developed. This cost formula reflected the cost relationships of the most recent design (Design Z). Y=140,000+8X1+5,000X2+2,000X3 where X1=MachinehoursX2=NumberofbatchesX3=Numberofengineeringchangeorders Based on scheduling and inventory considerations, the product would be produced in batches of 1,000; thus, 25 batches would be needed over the products life cycle. Furthermore, based on past experience, the product would likely generate about 20 engineering change orders. This new insight into the linkage of the product with its underlying activities led to a different design (Design W). This second design also lowered the unit-level cost by 2 per unit but decreased the number of design support requirements from 20 orders to 10 orders. Attention was also given to the setup activity, and the design engineer assigned to the product created a design that reduced setup time and lowered variable setup costs from 5,000 to 3,000 per setup. Furthermore, Design W also creates excess activity capacity for the setup activity, and resource spending for setup activity capacity can be decreased by 40,000, reducing the fixed cost component in the equation by this amount. Design W was recommended and accepted. As prototypes of the design were tested, an additional benefit emerged. Based on test results, the post-purchase costs dropped from an estimated 0.70 per unit sold to 0.40 per unit sold. Using this information, the Marketing Department revised the projected market share upward from 50 percent to 60 percent (with no price decrease). Required: 1. Calculate the expected gross profit per unit for Design Z using the controllers original cost formula. According to this outcome, does Design Z reach the targeted unit profit? Repeat, using the engineers revised cost formula. Explain why Design Z failed to meet the targeted profit. What does this say about the use of unit-based costing for life-cycle cost management? 2. Calculate the expected profit per unit using Design W. Comment on the value of activity information for life-cycle cost management. 3. The benefit of the post-purchase cost reduction of Design W was discovered in testing. What direct benefit did it create for Feagan Company (in dollars)? Reducing post-purchase costs was not a specific design objective. Should it have been? Are there any other design objectives that should have been considered?arrow_forward
- Step Costs, Relevant Range Bellati Inc. produces large industrial machinery. Bellati has a machining department and a group of direct laborers called machinists. Each machinist can machine up to 500 units per year. Bellati also hires supervisors to develop machine specification plans and oversee production within the machining department. Given the planning and supervisory work, a supervisor can oversee, at most, three machinists. Bellatis accounting and production history shows the following relationships between number of units produced and the annual costs of supervision and materials handling (by machinists): Required: 1. Prepare a graph that illustrates the relationship between direct labor cost and number of units produced in the machining department. (Let cost of direct labor be the vertical axis and number of units be the horizontal axis.) Would you classify this cost as a strictly variable cost, a fixed cost, or a step cost? 2. Prepare a graph that illustrates the relationship between the cost of supervision and the number of units produced. (Let cost of supervision be the vertical axis and number of units be the horizontal axis.) Would you classify this cost as a strictly variable cost, a fixed cost, or a step cost? 3. Suppose that the normal range of production is between 1,400 and 1,500 units and that the exact number of machinists is currently hired to support this level of activity. Further suppose that production for the next year is expected to increase by an additional 500 units. What is the increase in the cost of direct labor? Cost of supervision?arrow_forwardYoung Company is beginning operations and is considering three alternatives to allocate manufacturing overhead to individual units produced. Young can use a plantwide rate, departmental rates, or activity-based costing. Young will produce many types of products in its single plant, and not all products will be processed through all departments. In which one of the following independent situations would reported net income for the first year be the same regardless of which overhead allocation method had been selected? a. All production costs approach those costs that were budgeted. b. The sales mix does not vary from the mix that was budgeted. c. All manufacturing overhead is a fixed cost. d. All ending inventory balances are zero.arrow_forwardMott Company recently implemented a JIT manufacturing system. After one year of operation, Heidi Burrows, president of the company, wanted to compare product cost under the JIT system with product cost under the old system. Motts two products are weed eaters and lawn edgers. The unit prime costs under the old system are as follows: Under the old manufacturing system, the company operated three service centers and two production departments. Overhead was applied using departmental overhead rates. The direct overhead costs associated with each department for the year preceding the installation of JIT are as follows: Under the old system, the overhead costs of the service departments were allocated directly to the producing departments and then to the products passing through them. (Both products passed through each producing department.) The overhead rate for the Machining Department was based on machine hours, and the overhead rate for assembly was based on direct labor hours. During the last year of operations for the old system, the Machining Department used 80,000 machine hours, and the Assembly Department used 20,000 direct labor hours. Each weed eater required 1.0 machine hour in Machining and 0.25 direct labor hour in Assembly. Each lawn edger required 2.0 machine hours in Machining and 0.5 hour in Assembly. Bases for allocation of the service costs are as follows: Upon implementing JIT, a manufacturing cell for each product was created to replace the departmental structure. Each cell occupied 40,000 square feet. Maintenance and materials handling were both decentralized to the cell level. Essentially, cell workers were trained to operate the machines in each cell, assemble the components, maintain the machines, and move the partially completed units from one point to the next within the cell. During the first year of the JIT system, the company produced and sold 20,000 weed eaters and 30,000 lawn edgers. This output was identical to that for the last year of operations under the old system. The following costs have been assigned to the manufacturing cells: Required: 1. Compute the unit cost for each product under the old manufacturing system. 2. Compute the unit cost for each product under the JIT system. 3. Which of the unit costs is more accurate? Explain. Include in your explanation a discussion of how the computational approaches differ. 4. Calculate the decrease in overhead costs under JIT, and provide some possible reasons that explain the decrease.arrow_forward
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