Skateboards
Jean builds and sells skateboards. Jean has observed that the price for each skateboard (in $/unit) is given by the function: p(x) = -0.001x + 7.25 + 110937.5/x where x is the number of skateboards.
Jean has also observed that the cost of building skateboards (in $) is given by the function:
C(x) = 4.75x + 50000.
If Profit = Revenue – Cost, how many skateboards should Jean sell for Jean to maximize the profit?
(Note: Revenue = (x)(price per unit))
Problem submitted by Mike Schieffer, Austin, TX
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