Solve the problem.Given the total-revenue functionR(x) = 2x, and the total-cost functionC(x) = 0.01x2 + 0.8x + 50,if P(x) is the total profit function, find ?P and P'(x) when x = 50 and ?x = 1.

A. ?P = $0.21; P'(50) = $0.20
B. ?P = $0.20; P'(50) = $0.19
C. ?P = $0.19; P'(50) = $0.20
D. ?P = $1.81; P'(50) = $1.80


Answer: C

Mathematics

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