Question

The cost of producing x units of stuffed alligator toys is C(x)=0.001x²+10x+5000.

Find the marginal cost at the production level of 1000 units.

Answer 1

The marginal cost at the production level of 1000 units is $20.

Step-by-step explanation:

To find the marginal cost at the production level of 1000 units, we need to find the derivative of the cost function. The derivative of C(x) = 0.001x² + 10x + 5000 is C'(x) = 0.002x + 10. Plugging in x = 1000, we get C'(1000) = 0.002(1000) + 10 = 10 + 10 = 20.

Therefore, the marginal cost at the production level of 1000 units is $20.