APFIVE Profit Function Modeling
A company’s profit P(x), in thousands of dollars, depends on the number of units x produced. Given that P(0) = -50 (representing fixed costs), P(100) = 150, and as x increases the marginal profit approaches 2, which model best represents this scenario?
A
P(x) = -50 + 2x - 100(1-x/100)
B
P(x) = 2x - 50 - 100e^{-0.01x}
C
P(x) = 2x - 50(1 - e^{-0.01x})
D
P(x) = 2x - 50
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