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# Calculating break even point in dollars and units

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Johnson, Inc. projects sales for next year will be 70,000 units if the sales price is \$30. At this level, unit fixed costs will be \$10 while variable costs will be \$700,000. The vice president of marketing advises management to reduce sales price to \$25 and to undertake a national advertising campaign costing \$15,000.

a.What is the break even point for the company in terms of dollars and units before giving effect to vice president's plan?
b.What is the break even point in units after giving effect to the plan?
c.The vice president believes that this plan will result in a before tax earning of \$60,000. How many units must be sold to reach this earning level?
d.Create a Cost-Volume-Profit graph for the answer to part (b). Label all parts of the graph and show your work.

#### Solution Preview

Please refer attached file for graphs and better clarity of tables.

a)

Price=P=\$30
Unit Fixed Cost=f=\$10
Total Volume=Q=70000
Total Fixed Costs=f*Q=\$700,000
Total Variable Cost=TVC=\$700,000
Unit Variable Cost=V=TVC/Q=\$10

Break even point=BEP=F/(P-V)= 35,000 Units
Break even Point=BEP*Price=\$1,050,000

b)
Price=P= \$25
Fixed ...

#### Solution Summary

Solution describes the steps needed to calculate break even point in dollars and units after and before advertising campaign. It also creates Cost-Volume-Profit Graph.

\$2.19

## Break-Even Point and Target Income

Break-Even Point and Target Income

Detienne Company manufactures and sells one product for \$20 per unit. The unit contribution margin is 40% of the sales price, and fixed costs total \$80,000.

1. Using the equation approach, compute:
A) The break-even point in sales dollars and units.
B) The sales volume (in units) needed to generate a profit of \$40,000.
C) The break-even point (in units) if variable costs increase to 80% of the sales price and
fixed costs increase to \$100,000.

2. See if you can recompute the solutions to 1(a), 1(b), and 1(c) in one equation step using either the contribution margin ratio or the contribution margin dollars per unit.

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