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Pines Inc. produces and sells two products. During the most recent month, sales

ID: 2425560 • Letter: P

Question

Pines Inc. produces and sells two products. During the most recent month, sales of Product A were $60,000 and its variable costs were $40,000. Product B456's sales were $20,000 and its variable costs were $8,000. The firm has a 25% tax rate and earned an after-tax profit of $12,000.

Required:

a. If the product mix remains constant, what is he overall break-even point in sales dollars for the company.

b. If sales double, and the product mix remains constant, what is the maximum level of fixed costs to earn a total target profit of $20,000?

Explanation / Answer

Pines Inc. Net profit

Sale(60000 + 20000) 80000

less: variable cost(40000 + 8000) 48000

contribution margin 32000

less: fixed cost(32000-16000) 16000   

Profit before tax(4000+12000) 16000

less: tax [12000*(25%) /(100-% 25%) 4000

Net profit 12000

a. break even sale = fixed cost / contribution margin

   = 16000 / 0.4

   = $40000

Note:- contribution margin

= 32000 / 80000 * 100

=40%

b    sale = 80000 * 2

= $160000

less: variable cost = 48000 * 160000 / 80000

= $96000

contribution margin = 64000

  

sale = fixed cost + variable cost + profit

160000 = fixed cost + 96000 + 20000

  160000 = fixed cost + 116000

   fixed cost = 44000