If the profit for producing x items can be approximated by the function P(x) = 0.002x^3+100x, determine the marginal profit, in dollars, for 50 units.
a) $ 5 250
The marginal profit is the additional profit made by producing one more unit
We can find this by taking the derivative of P(x) =
P' (x) = .006x^2 + 100
P(50) = .006(50)^2 + 100 = $115