Smarty Inc. Ltd produces two different products with the following monthly data:   P1 P2 Total Selling price per unit $100 $12   Variable cost per unit $ 60 $ 3   Expected unit sales 21,000 14,000 35,000 Sales mix 60 percent 40 percent 100 percent Fixed costs     $750,000 Assume the sales mix remains the same at all levels of sales.   Required: a) Calculate the weighted average contribution margin per unit. b) How many units in total must be sold to break even? c) How many units of each product must be sold to break even?

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Chapter16: Cost-volume-profit Analysis
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Smarty Inc. Ltd produces two different products with the following monthly data:

 

P1

P2

Total

Selling price per unit

$100

$12

 

Variable cost per unit

$ 60

$ 3

 

Expected unit sales

21,000

14,000

35,000

Sales mix

60 percent

40 percent

100 percent

Fixed costs

 

 

$750,000

Assume the sales mix remains the same at all levels of sales.

 

Required:

a) Calculate the weighted average contribution margin per unit.

b) How many units in total must be sold to break even?

c) How many units of each product must be sold to break even?

d) How many units of each product must be sold to earn a monthly profit of $100,000?

e) Prepare a contribution margin income statement for the month.

f) If the sales mix shifts more toward the P1 product than the P2 product, would the break-even point in units increase or decrease? Explain. (Detail calculations are not necessary but may be helpful in confirming your answer.)

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