Question

Suppose the total weekly cost (in dollars) of producing x thermometers is C(x)=2x ² −x+500 and the demand equation is p=−0.03x+650. What is the marginal cost when x=10 ?

Answer 1

The marginal cost when x = 10 is $39.

Step-by-step explanation:

To find the marginal cost when x = 10, we need to find the derivative of the cost function C(x). The derivative of C(x) will give us the rate at which the cost is changing with respect to x. Using the power rule, we differentiate each term of the function to get C'(x) = 4x-1. Plugging in x = 10, we have C'(10) = 4(10)-1 = 40-1 = 39.

Therefore, the marginal cost when x = 10 is $39.