Question
Problem 4-20 Sales Mix; Multi-Product Break-Even Analysis [LO9] Smithen Company, a wholesale distributor, has been operating for only a few months. The company sells three
Problem 4-20 Sales Mix; Multi-Product Break-Even Analysis [LO9]
Smithen Company, a wholesale distributor, has been operating for only a few months. The company sells three productssinks, mirrors, and vanities. Budgeted sales by product and in total for the coming month are shown below based on planned unit sales as follows:
Units | Percentage | ||||
Sinks | 500 | 45 | % | ||
Mirrors | 300 | 27 | % | ||
Vanities | 300 | 27 | % | ||
Total | 1,100 | 100 | % | ||
Product | ||||||||||||||||||||||||
Sinks | Mirrors | Vanities | Total | |||||||||||||||||||||
Percentage of total sales | 42 | % | 30 | % | 28 | % | 100 | % | ||||||||||||||||
Sales | $ | 213,362.50 | 100 | % | $ | 151,500 | 100 | % | $ | 140,137.50 | 100 | % | $ | 505,000.00 | 100 | % | ||||||||
Variable expenses | 42,672.50 | 20 | % | 106,050 | 70 | % | 63,061.88 | 45 | % | 211,784.38 | 42 | % | ||||||||||||
Contribution margin | $ | 170,690.00 | 80 | % | $ | 45,450 | 30 | % | $ | 77,075.63 | 55 | % | 293,215.63 | 58 | % | |||||||||
Contribution margin per unit | $ | 341.38 | $ | 151.50 | $ | 256.92 | ||||||||||||||||||
Fixed expenses | 255,780.00 | |||||||||||||||||||||||
Operating income | $ | 37,435.63 | ||||||||||||||||||||||
Break-even point in sales dollars | = | Fixed expenses | = | $255,780 | = | $441,000 |
Overall CM ratio | 0.58 |
Break-even point in unit sales:
Total Fixed expenses | $255,780 | ||
= | = 959.56 units | ||
Weighted-average CM per unit | $266.56* | ||
*($341.38 0.45) + ($151.50 0.27) + ($256.92 0.27) |
Assume that actual sales for the month total $608,576 (1,300 units), with the CM ratio and per unit amounts the same as budgeted. Actual fixed expenses are the same as budgeted, $255,780. Actual sales by product are as follows: sinks, $194,160 (455 units); mirrors, $262,600 (520 units); and vanities, $151,816 (325 units).
Required:
1. Prepare a contribution format income statement for the month based on actual sales data. (Round your percentage answers to the nearest whole number.)
2. Compute the break-even point in sales dollars for the month, based on the actual data. (Round your intermediate calculations to the nearest whole percent. Round your final answer to the nearest whole dollar.)
3. Calculate the break-even point in unit sales for the month, based on the actual data. (Round your final answer to the nearest whole number.)
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