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:

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter16: Cost-volume-profit Analysis
Section: Chapter Questions
Problem 8E
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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

$45,000

32,500

8,000

         

LESS: VARIABLE EXPENSE

20,000

25,500

3,200

         

  CONTRIBUTION MARGIN

25,000

7,000

4,800

         

LESS: FIXED COSTS*

10,000

18,000

2,700

         

   OPERATING INCOME

15,000

-11,000

2,100

         
                 

* THIS INCLUDES COMMON FIXED COSTS TOTALING $18,000, ALLOCATED TO EACH PRODUCT IN PROPORTION TO ITS REVENUES.

Required:

  1. Prepare segmented income statements for the three products, using a better format.
  2. CONCEPTUAL CONNECTION Prepare segmented income statements for System A and the headsets assuming that System B is dropped. Should B be dropped?
  3. 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. Should System B be dropped and replaced with System C?
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