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

b) $250

c) $15

d) $115

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

So

P(50) = .006(50)^2 + 100 = $115