Question

If the profit function for a car is P(x) = 500x-x² - 100, what is the marginal profit if 200 units are sold?

Answer 1

Answer:

Marginal Profit = 100 .

Step-by-step explanation:

We are given with the Profit function for a car, P(x) = 500$x$ - $x^{2}$ - 100

Here, x = number of units sold

Now, Marginal function is given by first derivative of Original Function which is Profit function;

So, First derivative of Profit Function, P(x)' = 500 * (1) - 2*$x^{2-1}$ - 0

        {because derivative of constant is zero}

So, Marginal Function, M(x) = 500 - 2 * $x$

Hence, marginal profit if 200 units are sold = 500 - 2 * 200 = 500 - 400 = 100 .