In: Accounting
Epsilon |
Iota |
Omega |
||
Number of Units/Product Mix |
6,025 |
8,570 |
10,095 |
|
Sales price per unit |
$157.62 |
$192.91 |
$374.29 |
|
Variable cost per unit |
$75.42 |
$86.57 |
$139.12 |
|
Total Fixed Costs |
$456,230.00 |
$268,490.00 |
$188,955.00 |
|
Target Operating Income |
$589,400.00 |
$457,200.00 |
$1,529,640.00 |
|
Contribution margin per unit |
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Contribution margin ratio |
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Breakeven point in units |
||||
Breakeven in dollars (sales) |
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# of Units to achieve target income |
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Weighted Average CM |
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Units to Break Even with Weighted Average CM |
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Units to Achieve Target with Weighted Average CM |
For dollar amounts, round to the nearest cent. For percentages, round to the nearest percent.
(a) Compute the CM per unit =
Epsilon | Iota | Omega |
$ 82.2 | $ 106.3 | $ 235.2 |
(b) Compute the CM ratio per unit =
Epsilon | Iota | Omega |
52% | 55% | 63% |
(c) Compute the # of units to breakeven
Epsilon | Iota | Omega |
5,550.2 | 2,524.8 | 803.5 |
Achieve target operating income
Epsilon | Iota | Omega |
12,720.6 | 6,824.2 | 7,307.9 |
(d) Compute the # of sales dollars to breakeven
Epsilon | Iota | Omega |
$ 874,829.4 | $ 487,064.2 | $ 300,735.5 |
Achieve target operating income
Epsilon | Iota | Omega |
$ 2,005,014.6 | $ 1,316,464.7 | $ 2,735,267.8 |
(e) Calculate the weighted average CM per unit
Total Contribution / Total Sales = $ 37,80,629.9 / $63,81,356.7 = 59%
(f) Calculate the breakeven in units for weighted average CM
Total Fixed Cost / Contribution Per unit = $ 9,13,675 / (Total Contribution / Sales units )
= $ 9,13,675 / ($ 37,80,629.9 / 24,690)
= 5,966.9 units
(g) Calculate the number of units to achieve operating income with the weighted average CM
(Total Fixed Cost + Operating Income ) / Contribution Per unit
=( $ 9,13,675 + $ 25,76,240 )/ ($ 37,80,629.9 / 24,690)
= 22,791.4 units