Houston-based Advanced Electronics manufactures audio speakers for desktop computers. The following data relate to the period just ended when the company produced and sold 40,000 speaker sets:
Sales | $ | 3,360,000 | |
Variable costs | 840,000 | ||
Fixed costs | 2,250,000 | ||
Management is considering relocating its manufacturing facilities to northern Mexico to reduce costs. Variable costs are expected to average $18.00 per set; annual fixed costs are anticipated to be $1,984,000. (In the following requirements, ignore income taxes.)
Required:
Calculate the company’s current income and determine the level of dollar sales needed to double that figure, assuming that manufacturing operations remain in the United States. (Do not round intermediate calculations and round your final answers to nearest whole dollar.)
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Determine the break-even point in speaker sets if operations are shifted to Mexico. (Do not round intermediate calculations and round your final answer up to nearest whole number.)
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Assume that management desires to achieve the Mexican break-even point; however, operations will remain in the United States.
a. If variable costs remain constant, by how much must fixed costs change? (Round your intermediate unit calculations to the nearest whole number and round your final answers to the nearest whole dollar.)
b. If fixed costs remain constant, by how much must unit variable cost change? (Round your intermediate unit calculations to the nearest whole number and round your final answer to 2 decimal places.)
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1. Income statement
Sales | 3,360,000 |
Less variable cost | (840,000) |
Contribution | 2,520,000 |
Less fixed cost | (2,250,000) |
Operating income | 270,000 |
Contribution margin ratio = 2,520,000/3,360,000*100 = 75%
Target income = 270,000*2 = 540,000
Desired sales = FC + Target Income /CMR
= 2,250,000 + 540,000 / 75%
=3,720,000
2. Selling price per set = sales / no of sets
=3,360,000/40,000 = $84 per set
BEP(in sets) = FC(if operation shift to Mexico) /contribution (S-VC)
= 1,984,000/ 84-18
= 30061 sets
3. (a) Current VC = 840,000/40,000 = $21 per set
BEP( in sets) = FC /(84-21)
30061 = FC /63
FC = 1,893,843
Change in FC = 2,250,000 - 1,893,843 = $356,157
FC decrease by $356,157
(b) BEP (in sets) = FC(operations shifted to Mexico) /contribution
30061 = 2250000/(84-VC)
VC = 84 -75 = 9 per unit
Change in VC = $21 - $9 = $12 per unit
Variable cost decrease by $12 per unit
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