Answer:
a.
b.
c.
Step-by-step explanation:
a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:
b) The income function is given by the relation .
The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:
(c) The profit function of the company is given by the relation , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:
When q = 2000, the marginal utility is:
When q = 7000, the marginal utility is: