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:  Calculate the weighted average contribution margin per unit.   How many units in total must be sold to break even?  How many units of each product must be sold to break even?

Managerial Accounting: The Cornerstone of Business Decision-Making
7th Edition
ISBN:9781337115773
Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Publisher:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Chapter7: Cost-volume-profit Analysis
Section: Chapter Questions
Problem 62P
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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:

  1.  Calculate the weighted average contribution margin per unit. 
  2.  How many units in total must be sold to break even? 
  3. How many units of each product must be sold to break even? 
  4. How many units of each product must be sold to earn a monthly profit of $100,000? 
  5. Prepare a contribution margin income statement for the month. 
  6.  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. 
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