Personal Electronix sells computer tablets and MP3 players. The business is divided into two divisions along product lines. CVP income statements for a recent quarter’s activity are presented below.
Tablet Division |
MP3 Player Division |
Total |
||||
---|---|---|---|---|---|---|
Sales | $793,800 | $466,200 | $1,260,000 | |||
Variable costs | 563,598 | 256,410 | 820,008 | |||
Contribution margin | $230,202 | $209,790 | 439,992 | |||
Fixed costs | 143,172 | |||||
Net income | $296,820 |
(a)
Determine sales mix percentage and contribution margin ratio for each division.
Sales Mix Percentage |
||
---|---|---|
Tablet division |
63 % |
|
MP3 Player division |
37 % |
Contribution Margin Ratio |
||
---|---|---|
Tablet division | 29% | |
MP3 Player division | 45% |
Calculate the company’s weighted-average contribution margin ratio. (Round computations and final answer to 2 decimal places, e.g. 15.26%.)
Sales Mix Percentage = sale of Division /Total Sales
Sales Mix Percentage
Tablet Division = 793,800/1260,000 = 63%
MP3 Player Division =466,200 /1260000= 37%
Contribution Margin Ratio
Tablet Divisionl = 230,202/793,800 =29%
MP3 Division = 209790/466,200 = 45%
Weighted Average contibution Margin
= 439,992/1260,000 = 34.92 % (Answer
Calculate the company’s break-even point in dollars.
(Round computations to 2 decimal places and final
answer to 0 decimal places, e.g. 1,526.)
Break-even point |
$Enter the break-even point in dollars rounded to 0 decimal places |
Answer- Sales mix- Tablet Division = ($793800/$1260000)*100 = 63%
MP3 Player Division = ($466200/$1260000)*100 =37%
Contribution margin ratio- (Contribution margin ratio/Sales)*100
Tablet Division = ($230202/$793800)*100 = 29%
MP3 Player Division = ($209790/$466200)*100 = 45%
Answer- Weighted average contribution margin ratio =Contribution margin ratio* Sales mix percentage
= ($29%*63%)+(45%*37%)
= 18.27%+ 16.65%
= 34.92%
Answer- Break-even point in dollars = Fixed costs/ Weighted average contribution margin ratio
= $143172/34.92%
= $410000
Answer- - Break-even point in dollars –Break-even point in dollars* Sales mix
Tablet Division = $410000*63% =$258300
MP3 Player = $410000*37%= $151700
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