Question
AudioMart is a retailer of radios, stereos, and televisions. The store carries two portable sound systems that have radios, tape players, and speakers. System A,
AudioMart is a retailer of radios, stereos, and televisions. The store carries two portable sound systems that have radios, tape players, and speakers. System A, of slightly higher quality than System B, costs $20 more. With rare exceptions, the store also sells a headset when a system is sold. The headset can be used with either system. Variable-costing income statements for the three products follow:
System A | System B | Headset | |||||
Sales | $55,000 | $ 32,500 | $8,000 | ||||
Less: Variable expenses | 22,000 | 25,500 | 3,200 | ||||
Contribution margin | $33,000 | $ 7,000 | $4,800 | ||||
Less: Fixed costs* | 10,000 | 20,000 | 2,700 | ||||
Operating income | $23,000 | $(13,000) | $2,100 |
* This includes common fixed costs totaling $18,000, allocated to each product in proportion to its revenues.
The owner of the store is concerned about the profit performance of System B and is considering dropping it. If the product is dropped, sales of System A will increase by 38%, and sales of headsets will drop by 25%. (Note: Round all answers to the nearest whole number.)
Conceptual Connection: Suppose that a third system, System C, with a similar quality to System B, could be acquired. Assume that with C the sales of A would remain unchanged; however, C would produce only 80% of the revenues of B, and sales of the headsets would drop by 10%. The contribution margin ratio of C is 50%, and its direct fixed costs would be identical to those of B.
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