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E5-14 Determining Cost Behavior, Preparing Contribution Margin Income Statement [LO 5-1, 5-5] Riverside Inc. makes one model3. Suppose Riverside sells its canoes for $515 each. Calculate the contribution margin per canoe and the contribution margin

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Answer:

1. Complete the table

Number of canoes produced and sold 520 670 820
Total Costs
Variable costs ( Note-1) $75,400 $97150 $118,900
Fixed costs ( Note-2 ) $149,000 $149,000 $149,000
Total Costs $224,400 $246,150 $267,900
Cost per unit
Variable Costs per unit (Variable Costs ÷ Number of canoes produced and sold) $145.00 $145.00 $145.00
Fixed costs per unit ( Fixed cost ÷ Number of canoes produced and sold) $286.54 $222.39 $181.71
Total Costs per unit ( variable costs per unit + Fixed costs per unit) $431.54 $367.39 $326.71

Notes:

1.Variable cost for 520 Number of canoes = 75400

Then variable cost for 1 Number of canoes = $75400 ÷ 520 =$145

Again variable cost for,

670 number of canoes = $145 × 670 = $97150

820 number of canoes = $ 145 × 820 =$ 118900

2.​​​​​Fixed cost remain same for every change in number of canoes as it is Fixed.

3. Calculation of the Contribution Margin per canoe and the Contribution Margin ratio :

Particular Amount Percentage
Unit Contribution Margin $370
Contribution Margin Ratio 72%

Details:

Unit Contribution Margin = Sales price – variable cost per unit

Unit Contribution Margin = $515 – $145

Unit Contribution Margin = $370

Contribution Margin Ratio = Unit contribution margin ÷ Sales price

= $370 ÷ $515 × 100

Contribution Margin Ratio = 72%

4. Next year Riverside expects to sell 870 canoes. Preparing a contribution margin income statement of the company

Riverside Inc.
Contribution Margin Income statement
For the Next year
Sales revenue (Details 1) $448050
Less: Variable Costs ( Details 2) $126150
Contribution Margin ( Sales revenues – variable cost) $321900
Less: Fixed Costs $149000
Net operating income $172900

Details:

1.Sales revenue = No. Of canoes expected to sell × sales price

= 870 × $515

=$448050

2. Variable costs = No. Of canoes expected to sell × variable cost per unit

= 870 × $145

=$126150

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