Semiautomatic process has a fixed cost of $40,000 per year and variable cost of $30 per unit. An automatic process has fixed cost of $88,000 per year and a variable cost of $22 per unit. At what production level per year will the two alternatives break even?
Answer
The breakeven quantity is at TC of one is equal to other
TC=FC+VC
For Semiautomatic Process
FC=40000
VC=30 per unit
TC=40000+30Q
For Automatic process
FC=88000
VC=22 per unit
TC=88000+22Q
TC(semiautomatic)=TC(automatic)
40000+30Q=88000+22Q
8Q=48000
Q=6000
The two alternatives will break even at a production level of 6000 per year.
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