The cost of producing a certain item consist of P102 per unit for labor and material cost and P54 per
unit for other variable cost. The fixed cost per month amounts to P850,000. The item is sold at P740 each.
a. Determine the break-even quantity per month.
b. How many units must be produced each month in order that the net profit equals the cost?
c. What is the net profit it for a production of 4,000 units per month, in pesos?
Solution:
a.). Break even in units = fixed costs ÷ contribution margin
Contribution margin per unit = sales price per unit - variable costs
=740 - (102 + 54) = 740 - 156 = 584
BEP (units) = 850,000 ÷ 584=1455.48
BEP (units) = 1456 units
b.). Let x be units that must be produced each month in order that the net profit equals the cost
584x-850,000= 102x + 54x + 850,000
428x = 1,700,000
X = 3,972 units
c.). Net profit = Contribution margin - fixed costs
Contribution margin = 584 × 4000 = 2,336,000
Net profit = 2,336,000 - 850,000 = 1,486,000
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