Thursday, 14 May 2020

Fowler Company produces a product that sells for $200 per unit and has a variable cost of $125 per unit. Fowler incurs annual fixed costs of $450,000.

Fowler Company produces a product that sells for $200 per unit and has a variable cost of $125 per unit. Fowler incurs annual fixed costs of $450,000.

Required
  1. Determine the sales volume in units and dollars required to break even. (Do not round intermediate calculations.)
  2. Calculate the break-even point assuming fixed costs increase to $600,000. (Do not round intermediate calculations.)
     
    N = Number of units to break-even
    Sales – Variable cost – Fixed cost = Profit
    (Sales price × N) − (Variable cost per unit × N) = Fixed cost + Profit
    (Contribution margin per unit × N) = Fixed cost + Profit
    N = (Fixed cost + Profit) ÷ Contribution margin per unit

    a.
    N = ($450,000 + $0) ÷ ($200 − $125) = 6,000 units
    Sales in $ = $200 × 6,000 units = $1,200,000

    b.
    N = ($600,000 + $0) ÷ ($200 − $125) = 8,000 units
    Sales in $ = $200 × 8,000 units = $1,600,000

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