Question #244983

Network Systems is introducing a new network card. Suppose Network Systems knows its fixed costs are $600,000, its variable costs are $500 per card, and it must sell 15,000 cards to break even the first year. What is the minimum price per unit it should charge?


1
Expert's answer
2021-10-05T17:07:42-0400

15,000=FPV15,000 =\frac{F}{P-V}


15,000=$600,000$500V15,000 =\frac{ \$600,000}{\$500 - V}


Cross multiply


15,000(500V)=600,00015,000(500 - V) =600,000


7,500,00015,000V=600,0007,500,000 - 15,000V = 600,000


15,000V=600,0007,500,000-15,000V = 600,000 -7,500,000

15,000V=6,900,000-15,000V = - 6,900,000


V=6,900,00015,000V = \frac{-6,900,000}{-15,000}


V=460V=460


The minimum price per unit it should charge is $460


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