In: Finance
1.
Milden Company is a distributor who wants to start using a contribution format income statement for planning purposes. The company has analyzed its expenses and developed the following cost formulas:
Cost | Cost Formula |
Cost of good sold | $25 per unit sold |
Advertising expense | $175,000 per quarter |
Sales commissions | 7% of sales |
Shipping expense | ? |
Administrative salaries | $85,000 per quarter |
Insurance expense | $9,500 per quarter |
Depreciation expense | $55,000 per quarter |
Because shipping expense is a mixed cost, the company needs to estimate the variable shipping expense per unit sold and the fixed shipping expense per quarter using the following data:
Quarter | Units Sold | Shipping Expense |
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Year 1: | ||||
First | 21,000 | $ | 165,000 | |
Second | 23,000 | $ | 180,000 | |
Third | 28,000 | $ | 222,000 | |
Fourth | 24,000 | $ | 185,000 | |
Year 2: | ||||
First | 22,000 | $ | 175,000 | |
Second | 25,000 | $ | 190,000 | |
Third | 35,400 | $ | 237,000 | |
Fourth | 32,400 | $ | 213,000 | |
Required:
1. Using the high-low method, estimate a cost formula for shipping expense in the form Y = a + bX.(Round the Variable cost per unit to 2 decimal places.)
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2. In the first quarter of Year 3, the company plans to sell 31,000 units at a selling price of $55 per unit. Prepare a contribution format income statement for the quarter.
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2.
Last year Minden Company introduced a new product and sold 25,200 units of it at a price of $92 per unit. The product's variable expenses are $62 per unit and its fixed expenses are $838,500 per year.
Required:
1. What was this product's net operating income (loss) last year?
2. What is the product's break-even point in unit sales and dollar sales?
3. Assume the company has conducted a marketing study that estimates it can increase annual sales of this product by 5,000 units for each $2 reduction in its selling price. If the company will only consider price reductions in increments of $2 (e.g., $68, $66, etc.), what is the maximum annual profit that it can earn on this product? What sales volume and selling price per unit generate the maximum profit?
4. What would be the break-even point in unit sales and in dollar sales using the selling price that you determined in requirement 3?
Answer to Question 1:
Requirement 1:
Highest Activity:
Shipping expense = $237,000
Units sold = 35,400
Lowest Activity:
Shipping expense = $165,000
Units sold = 21,000
Variable shipping expense per unit = (Shipping expense at
highest activity - Shipping expense at lowest activity) / (Units
sold at highest activity - Units sold at lowest activity)
Variable shipping expense per unit = ($237,000 - $165,000) /
(35,400 - 21,000)
Variable shipping expense per unit = $5.00
Fixed shipping expense = Shipping expense at highest activity -
Units sold at highest activity * Variable shipping expense per
unit
Fixed shipping expense = $237,000 - 35,400 * $5.00
Fixed shipping expense = $60,000
Requirement 2: