142k views
5 votes
David Company has plans to produce 100,000 units of Product A and 200,000 units of Product B. The planned results of a month's operation are as follows: A B Amount Per Unit Amount Per Unit Total Sales revenue $120,000 $1.20 $80,000 $0.40 $200,000 Variable expense 60,000 0.60 60,000 0.30 120,000 Contribution margin $60,000 $0.60 $20,000 $0.10 $80,000 Fixed expense $50,000 Net income $30,000 The break-even point in units for each product is closest to

1 Answer

5 votes

Answer:

Break-even point= 114943 units

Product A: 77012 units

Product B: 37931 units

Step-by-step explanation:

Giving the following information:

David Company has plans to produce:

Product A: 100,000 units.

Product B: 200,000 units.

Sales revenue:

Product A= 100,000*1.20= $120,000

Product B= 200,000*0.40= $80,000

Total= $200,000

Varable expense=

Product A= 0.60*100,000= $60,000

Prodcut B= 0.30*200,000= $60,000

Total= $120,000

Contribution Margin= $80,000

Fixed costs= $50,000

Net Income= $30,000

The formula of the break-even point with multiple products is:

Break-even point= Total fixed costs/ (weighted average selling price/ weighted average variable expenses)

First, we have to calculate the sales percentage of individual products in the total sales mix.

Total sales= 300,000 units

A: 200,000/300,000= 0.67

B:100,000/300,000=0.33

Weighted average selling price= (Sale price of product A × Sales percentage of product A) + (Sale price of product B × Sale percentage of product B)= (1.20*0.67)+(0.40*0.33)= $0.936

Weighted average variable expenses= (Variable costs of product A × Sales percentage of product A) + (Variable costs of product B × Variable expenses of product B)= (0.60*0.67) + (0.30*0.33) = $0.501

Now, we can calculate the break-even point:

Break-even point= 50,000/(0.936-0.501)= 114943 units

Product A: 0.67*114943= 77012 units

Product B: 0.33*114943= 37931 units

User Jimifiki
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories