Solve the problem.Zippy golf carts obey the demand equation p = -
x + 4000. The cost of producing x golf carts is given by the function C(x) = 500x + 2000. a) Express the revenue R as a function of x. b) Express the profit P as a function of x. c) Find the value of x that maximizes profit. d) Find the maximum profit.
A. a) R(x) = - x2 + 4000x
b) P(x) = - x2 + 3500x - 2000
c) 17,500
d) -$2000.00
B. a) R(x) = - x2 + 4000x
b) P(x) = - x2 + 3500x - 2000
c) 17,500
d) $30,623,000.00
C. a) R(x) = - x2 + 4000x
b) P(x) = - x2 + 3500x + 2000
c) 17,500
d) $30,627,000.00
D. a) R(x) = x2 + 4000x
b) P(x) = x2 + 3500x - 2000
c) 19,750
d) $108,129,250.00
Answer: B
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