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P22-20 Compute a CVP income statement, compute break even poist, contribution margin ratio, margin of safety rate and soles f
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(a)

ALL FRUTE COMPANY
CVP Income Statement (Estimated)
For the Year Ending December 31, 2014
Sales revenue 2500000
Variable expenses
Cost of goods sold ($360000 + 450000 + 270000) 1080000
Selling expenses 80000
Administrative expenses 40000
Total variable expenses 1200000
Contribution margin ($2500000 - $1200000) 1300000
Fixed expenses
Cost of goods sold 380000
Selling expenses 250000
Administrative expenses 150000
Total fixed expenses 780000
Net income ($1300000 - $780000) 520000

(b)(1)

Unit selling price 0.50
Unit variable costs 0.24
Contribution margin per unit ($0.50 - $0.24) 0.26
Fixed costs 780000
Contribution margin per unit 0.26
Break-even point (units) ($780000/$0.26) 3000000

Number of units sold = Total sales revenue/Unit selling price = $2500000/$0.50 = 5000000

Unit variable cost = Total variable expenses/Number of units sold = $1200000/5000000 = $0.24

(b)(2)

Break-even point in units 3000000
Unit selling price 0.50
Break-even point (dollars) (3000000 x $0.50) 1500000

OR

Fixed costs 780000
Contribution margin ratio
Contribution margin per unit 0.26
Unit selling price ($0.26/$0.50) 0.50 0.52
Break-even point (dollars) ($780000/0.52) 1500000

(c)

Contribution margin ratio
Contribution margin per unit 0.26
Unit selling price ($0.26/$0.50) 0.50 0.52
Margin of safety ratio
Sales 2500000
Break-even point (dollars) 1500000
Excess over break-even ($2500000 - $1500000) 1000000
Sales ($1000000/$2500000) 2500000 0.40

(d)

Total fixed expenses 780000
Desired net income 624000 1404000
Contribution margin ratio 0.52
Required sales ($1404000/0.52) 2700000
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