Math
posted by Jessie on .
Stan's Cans, Inc. expects to earn $150,000 next year after taxes on sales of $2,200,000. Stan's manufactures only one size of garbage can and is located in the small, but beautiful, town of Mount Dora, Florida. Stan sells his cans for $8 a piece and they have a variable cost of $2.40 a piece. Stan's tax rate is currently 34%.
a. What are the firm's expected fixed costs for next year?
b. What is the breakeven point in units?

aftertax revenue = 66% of 2,200,000 = 1452000
revenue from n cans = 8n
cost for n cans is f + 2.4n
where f is the fixed cost.
aftertax income = 8n*.66 = 5.28n
earnings = income less expenses
2200000/8 = 275000 cans
150000 = 1452000  f  2.4(275000)
150000 = 792000  f
f = 642000
So, earnings = 5.28n  f  2.4n
= 2.88n  642000
at breakeven, earnings = 0, so
0 = 2.88n  642000
n = 222916.6, or 222917