HW 1 BEP Problem 2 Fixed Production Level
Fixed costs = $ 30/hr
Variable cost = $16/hr +2,500
Semivariable cost = $14/hour + $500
Required Return = $3,000
Tax rate = .40
Revenue = $15/unit
Production Units = 1,000 units
Time period = 200 hours
Find the following four break-even points in number of hours:
Shutdown point:
Break-even at costs:
Break-even at required return:
Break-even at required return after taxes:
Find the profit for time period of 100 hours in dollars:
Solution:
Break-even: (Fixed Cost + Semi Variable Cost)/Contribution
Wherein Contribution: Sales-Variable Cost
Fixed Cost: $ 30/hr
= $ 30X200 hours = $ 6000
Semi-Variable Cost: $ 14/hr + $ 500
= $14X200 + $ 500
= $2800+ $500
= $ 3300
Variable Cost: $ 16/hr + $ 2500
= $ 16X200+ $ 2500
= $ 3200+ $2500
= $ 5700
Sales/Revenue: Revenue per unit X production units
=$ 15 per unit X 1000 units
= $15000
Contribution: Sales- Variable Cost
=$ 15000- $5700
= $9300
Break-even at cost : (Fixed Cost+ Semi Variable Cost)/Contribution
= ($ 6000 + $ 3300)/ $9300
= $ 9300/$ 9300
= $ 1
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