In: Accounting
Patriot Co.
manufactures and sells three products: red, white, and blue. Their
unit selling prices are...
Patriot Co.
manufactures and sells three products: red, white, and blue. Their
unit selling prices are red, $46; white, $76; and blue, $101. The
per unit variable costs to manufacture and sell these products are
red, $31; white, $51; and blue, $71. Their sales mix is reflected
in a ratio of 2:2:1 (red:white:blue). Annual fixed costs shared by
all three products are $141,000. One type of raw material has been
used to manufacture all three products. The company has developed a
new material of equal quality for less cost. The new material would
reduce variable costs per unit as follows: red, by $6; white, by
$16; and blue, by $10. However, the new material requires new
equipment, which will increase annual fixed costs by
$11,000.
Required:
2.
Assume if the company uses the new material, determine its new
break-even point in both sales units and sales dollars of each
individual product. (Round composite units up to next whole
number.)
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2. Determine its break-even point in both sales units and sales
dollars of each individual product. |
Determine the
selling price per composite unit. |
|
Ratio |
Selling
price per unit |
|
Total per
composite unit |
Red |
2 |
|
|
|
White |
2 |
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|
Blue |
1 |
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|
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|
Determine the
variable costs per composite unit. |
|
Ratio |
Variable
cost per unit |
|
Total per
composite unit |
Red |
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|
White |
|
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|
Blue |
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Determine the
break-even point in composite units. |
Choose Numerator: |
/ |
Choose Denominator: |
= |
Break Even Units |
Sales per unit |
/ |
Contribution margin per unit |
= |
Break even units |
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|
|
|
0 |
|
Determine its
break-even point in units and sales dollars of each individual
product. |
|
Number per composite unit |
Number of composite units to break even. |
|
Units sales at the break-even point |
Dollar sales at the break-even point |
Red |
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White |
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Blue |
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1.
Assume if the company continues to use the old material, determine
its break-even point in both sales units and sales dollars of each
individual product. (Round composite units up to next whole
number.)
|
|
1. Determine its break-even point in both sales units and sales
dollars of each individual product. |
Determine the
selling price per composite unit. |
|
Ratio |
Selling
price per unit |
|
Total per
composite unit |
Red |
2 |
|
|
|
White |
2 |
|
|
Blue |
1 |
|
|
|
|
|
|
Determine the
variable costs per composite unit. |
|
Ratio |
Variable
cost per unit |
|
Total per
composite unit |
Red |
|
|
|
|
White |
|
|
|
Blue |
|
|
|
|
|
|
|
Determine the
break-even point in composite unit. |
Choose Numerator: |
/ |
Choose Denominator: |
= |
Break Even Units |
Total fixed costs |
/ |
Contribution margin per unit |
= |
Break even units |
|
|
|
|
0 |
|
Determine its break-even point in units and sales dollars of each
individual product. |
|
Number per composite unit |
Number of composite units to break even. |
|
Units sales at the break-even point |
Dollar sales at the break-even point |
Red |
|
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|
White |
|
|
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|
Blue |
|
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