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$84 per unit. selling expenses are $12 per unit, annual fixed manufacturing costs are $470,000, and fixed selling and Determine the break-even point in units and dollars using each of the following approaches: b. Use the c eferencesd. Prepare a Req A to C 29
5 Ritchie Manufacturing Company makes a product that it sells for $160 per unit. The company incurs variable manufacturin $84 per unit. Variable selling expenses are $12 per unit, annual fixed manufacturing costs are $470,000, and f administrative costs are $208,400 per year. 3.75 points Required Determine the break-even point in units and dollars using each of the following approaches: a. Use the equation method. b. Use the contribution margin per unit approach. c. Use the contribution margin ratio approach. d. Prepare a contribution margin income statement References for the break-even sales volume. Complete this question by entering your answers in the tabs below. Req A to C Rka D Prepare a contribution margin income statement for the break-even sales volume. E MANUFACTURING COMPANY tion in I State costs Contribution margin ixed costs income < Req A to C くPrey 501 81 Next >
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Answer #1

a)

Let unit is A

Sale price x units = Variable cost per unit x units + Fixed cost + profit

$160 x A = ($84+$12)x A+ ($470000+$208400)

$160A = $96A+ $678400

$160A-$96A = $678400

$64A = $678400

A = $678400÷$64

A = 10,600 unit

Break even in dollars = break even units x price

= 10600 x 160 = $16,96,000

b)

Contribution per unit = Sale price - variable cost per unit

= $160-$84-$12

= $64

Break even units = Fixed cost / contribution per unit

= $678400÷$64

= 10600 units

break even in dollars= break even units x price
= 10600 x $160
= $1696000

c)

contribution margin ratio = price - variable cost per unit / price
= $160-$12-$84 ÷ $160
= 40%

Break even in dollars= fixed cost ÷ contribution margin ratio
= $678400 ÷ 40%
= $16,96,000
break even in units = Break even in dollars ÷ Price
= $1696000 ÷ $160
= 10600 units

d)

Contribution margin income statement for break even sales

sales = 10600 x $160 = $16,96,000
variable cost = 10600 x $96 = $10,17,600
contribution margin = $6,78,400
fixed cost = $6,78,400
net income = 0

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