Answer:

Step-by-step explanation:
the GCF of the numbers is 16, for the variables choose the lower power.
The formula for perimeter is 2L + 2W and the formula for the area is L * W, since we don't know the width we will divide 35:7 = 5 and he the measurement for the width.
Now just add L + W = 12 and multiply by 2 the answer is 24
Or 2 * 7 + 2 * 5 = 24
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:
