A beauty product company is developing a new fragrance named
Happy Forever. There is a probability of 0.52 that consumers will
love Happy Forever, and in this case, annual sales will be 1.07
million bottles; a probability of 0.38 that consumers will find the
smell acceptable and annual sales will be 170,000 bottles; and a
probability of 0.10 that consumers will find the smell unpleasant
and annual sales will be only 53,000 bottles. The selling price is
$38, and the variable cost is $10 per bottle. Fixed production
costs will be $1.03 million per year, and depreciation will be
$1.15 million. Assume that the marginal tax rate is 40 percent.
What are the expected annual incremental after-tax free cash flows
from the new fragrance?
Annual incremental cash flows | $enter the Annual incremental cash flows in dollars |
expected annual sales = (1,070,000*0.52) + (0.38*170,000) + (0.10*53,000)
=>556,400+64,600 + 5,300
=>626,300.
sales revenue (626,300*$38) | 23,799,400 |
less; Variable costs (626,300*$10) | (6,263,000) |
contribution margin | 17,536,400 |
less: depreciation | (1,150,000) |
less:fixed costs | (1,030,000) |
Income before tax | 15,356,400 |
less: tax @40% | (6,142,560) |
net income | 9,213,840 |
add:depreciation | 1,150,000 |
annual incremental cash flow | 10,363,840 |
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