8. suppose that the demand for bentonite is given by q = 40 − 0.5p, where q is in tons of bentonite per day and p is the price per ton. bentonite is produced by a monopolist at a constant marginal and average total cost of $10 per ton. how much profit is earned per day if the profit-maximizing quantity of bentonite is sold at the profit-maximizing price?

The total profit is  612.5

Explanation:

First we need to find the profit maximizing quantity. Since the monopolist faces the entire demand his profit ()equation would be

where PxQ is his revenue and 10Q is his total cost.

We can replace P in the above equation from the equation demand

Then

taking derivatives with respect to Q

then Q=17.5 and P=45.

The total profit is then 612.5

explanation:

what

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants