The cost and revenue are defined, in dollars, as C(x) = 30x + 100 and R(x) = -x2 + 90x. Required:
a. Find and simplify the profit function, defined by P(x).
b. Use a. to find the marginal profit function.

a) The profit function is , b) The marginal profit function is .

Step-by-step explanation:

a) Let be (cost function) and (revenue function), the profit function is found by subtracting the cost function from the revenue function. That is:

b) The marginal profit function is the first derivative of the profit function:

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2