Question

2. A bed and breakfast place has annual fixed costs of $100,000 variable costs of 60% of sales revenue and a tax rate of 30%.
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Answer #1

a)

Step 1:

Before tax income =After tax Income /[1-Tax rate]

                        = 35000 / [1-- .30]

                        = 35000 / .70

                         = 50000

Step 2 :

Contribution margin ratio = 1-variable cost ratio

            = 1 -.60

           = .40 or 40%

Sales revenue to achieve target income =[Fixed cost+ Before tax income /contribution margin ratio

                 = [100000 + 50000]/ .40

                = 150000/.40

                = $ 375000

sales revenue : 375000

INCOME STATEMENT
Sales revenue 375000
variable cost (375000*60%) (225000)
contribution margin 150000
Fixed cost (100000)
Income before tax 50000
less:Tax (50000*30%) (15000)
Net income 35000
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