In: Accounting
Multiple-Product Break-Even and Target Profit Vandenberg, Inc., produces and sells two products: a ceiling fan and a table fan. Vandenberg plans to sell 20,000 ceiling fans and 60,000 table fans in the coming year. Product price and cost information includes: Ceiling Fan Table Fan Price $58 $16 Unit variable cost $9 $9 Direct fixed cost $21,000 $46,000 Common fixed selling and administrative expenses total $82,000. Required: 1. What is the sales mix estimated for next year (calculated to the lowest whole number for each product)? Sales mix of ceiling fans to table fans = : 2. Using the sales mix from Requirement 1, form a package of ceiling fans and table fans. How many ceiling fans and table fans are sold at break-even? Round your intermediate calculations and final answers to the nearest whole number. Break-even ceiling fans Break-even table fans 3. Prepare a contribution-margin-based income statement for Vandenberg, Inc., based on the unit sales calculated in Requirement 2. If an amount is zero, enter "0". Enter any negative product margin and losses with a minus sign. Do not round intermediate calculations. Round your final answers to nearest dollar. Vandenberg, Inc. Contribution-Margin-Income Statement For the Coming Year Ceiling Fans Table Fans Total $ $ $ $ $ $ $ $ $ $ 4. What if Vandenberg, Inc., wanted to earn operating income equal to $13,200? Calculate the number of ceiling fans and table fans that must be sold to earn this level of operating income. (Hint: Remember to form a package of ceiling fans and table fans based on the sales mix and to first calculate the number of packages to earn an operating income of $13,200.) Round your intermediate calculations and final answers to nearest number. Break-even ceiling fans Break-even table fans Check My Work
Celling Fans | Table Fans | |||
Selling Price | $ 58.00 | $ 16.00 | ||
Variable cost | $ 9.00 | $ 9.00 | ||
Contribution per unit(selling price - Variable cost) | $ 49.00 | $ 7.00 | ||
Direct fixed cost | $ 21,000.00 | $ 46,000.00 | ||
Estimated Units | 20,000 | 60,000 | ||
Common Selling Expense | $ 82,000.00 | |||
Answer(1):- | Estimated Sales Mix for next year = 20,000 :60,000 (Celling fans to table fans) | |||
Estimated Sales Mix for next year = 1 : 3 (Celling fans to table fans) | ||||
Answer(2):- | Particulars | Celling Fans | Table Fans | |
Contribution per unit(selling price - Variable cost) | $ 49.00 | $ 7.00 | ||
Units in sales mix | 1 | 3 | ||
Weighted Average contribution | $ 49.00 | $ 21.00 | ||
Total contribution for 1 combination as per sales mix = $70 | ||||
Total fixed cost (21000+46000+82000) | 149,000 | |||
Total combination required (149,000/70) | 2,129 | |||
(Fixed cost / contribution for 1 combination) | ||||
Units of Celling fans for break even(2,129 * 1) | 2,129 | |||
Units of table fans for break even(2,129 * 3) | 6,387 | |||
Answer(3):- | Particulars | Celling Fans | Table Fans (Amt. in $) | Total (in $) |
Sales (break even sales units * selling price) | 123,482 | 102,192 | 225,674 | |
Variable cost (break even sales unit * variable cost) | 19,182 | 57,492 | 76,674 | |
Contribution(sales - variable cost) | 104,300 | 44,700 | 149,000 | |
Direct fixed cost | 21,000 | 46,000 | 67,000 | |
Product profit (contribution - product cost) | 83,300 | (1,300) | 82,000 | |
Common fixed selling and administrative expense | 82,000 | |||
Operating Income | - | |||
Answer(4):- | Total contribution required | 162,200 | (149000+13200) | |
Total contribution for 1 combination as per sales mix | $70 | |||
Total combination required(162200/70) | 2,317 | |||
Units of Celling fans (2,317 * 1) | 2317 | |||
Units of table fans (2,317 * 3) | 6951 | |||