In: Accounting
Koontz Company manufactures two models of industrial components—a Basic model and an Advanced Model. The company considers all of its manufacturing overhead costs to be fixed and it uses plantwide manufacturing overhead cost allocation based on direct labor-hours. Koontz’s controller prepared the segmented income statement that is shown below for the most recent year (he allocated selling and administrative expenses to products based on sales dollars):
Basic Advanced Total
Number of units produced and sold 20,000 10,000 30,000
Sales$3,000,000 $2,000,000$5,000,000
Cost of goods sold 2,300,000 1,350,000 3,650,000
Gross margin 700,000 650,000 1,350,000
Selling and administrative expenses 720,000 480,000 1,200,000
Net operating income (loss)$(20,000)$170,000$150,000
Direct laborers are paid $20 per hour. Direct materials cost $40 per unit for the Basic model and $60 per unit for the Advanced model. Koontz is considering a change from plantwide overhead allocation to a departmental approach. The overhead costs in the company’s Molding Department would be allocated based on machine-hours and the overhead costs in its Assembly and Pack Department would be allocated based on direct labor-hours. To enable further analysis, the controller gathered the following information:
Molding Assemble and Pack Total
Manufacturing overhead costs$787,500 $562,500$1,350,000
Direct labor hours:
Basic 10,000 20,000 30,000
Advanced 5,000 10,000 15,000
Machine hours:
Basic 12,000 - 12,000
Advanced 10,000 - 10,000
Required:
2. Using a departmental approach:
c. Using your departmental overhead cost allocations, redo the controller’s segmented income statement (continue to allocate selling and administrative expenses based on sales dollars).
3. Koontz’s production manager has suggested using activity-based costing instead of either the plantwide or departmental approaches. To facilitate the necessary calculations, she assigned the company’s total manufacturing overhead cost to five activity cost pools as follows:
Activity Cost PoolActivity MeasureManufacturing Overhead
MachiningMachine-hours in Molding$417,500
Assemble and packDirect labor hours in Assemble and Pack 282,500
Order processingNumber of customer orders 230,000
SetupsSetup hours 340,000
Other (unused capacity) 80,000
$1,350,000
She also determined that the average order size for the Basic and Advanced models is 400 units and 50 units, respectively. The molding machines require a setup for each order. One setup hour is required for each customer order of the Basic model and three hours are required to setup for an order of the Advanced model.
The company pays a sales commissions of 5% for the Basic model and 10% for the Advanced model. Its traceable fixed advertising costs include $150,000 for the Basic model and $200,000 for the Advanced model. The remainder of the company’s selling and administrative costs are organization-sustaining in nature.
Using the additional information provided by the production manager, calculate:
a. An activity rate for each activity cost pool.
b. The total manufacturing overhead cost allocated to the Basic model and the Advanced model using the activity-based approach.
c. The total selling and administrative cost traced to the Basic model and the Advanced model using the activity-based approach.
4. Using your activity-based cost assignments from requirement 3, prepare a contribution format segmented income statement that is adapted from Exhibit 7-8. (Hint: Organize all of the company’s costs into three categories: variable expenses, traceable fixed expenses, and common fixed expenses.)
5. Using your contribution format segmented income statement from requirement 4, calculate the break-even point in dollar sales for the Advanced model.
4:
Contribution format Income statement using activity based costing | ||||||||||
Basic | Advanced | Total | ||||||||
Number of units produced & sold | 20000 | 10000 | 30000 | |||||||
Sales | 3000000 | 2000000 | 5000000 | |||||||
Variable costs | ||||||||||
Direct Material | 800000 | 600000 | 1400000 | |||||||
Direct labor | 600000 | 300000 | 900000 | |||||||
Selling commission | 150000 | 200000 | 350000 | |||||||
Total variable costs | 1550000 | 1100000 | 2650000 | |||||||
Contribution margin | 1450000 | 900000 | 2350000 | |||||||
Contribution ratio | 48.33333 | 45 | ||||||||
Traceble fixed cost | ||||||||||
Manufacturing overhead | 488214.5 | 781785.5 | 1270000 | |||||||
Advertising cost | 150000 | 200000 | 350000 | |||||||
Total traceble fixed cost | 638214.5 | 981785.5 | 1620000 | |||||||
Common fixed costs | ||||||||||
Manufacturing overhead-other for unused capacity | 80000 | |||||||||
Selling & adminstrative expenses | 500000 | |||||||||
Net operating Income | 811785.5 | -81785.5 | 150000 |
5:
Breakeven point in dollars for advanced model = total fixed cost / Contribution ratio
=981785.5/45%
= 2181745.556
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