Question

The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model:

C(q) = 2,100 + 80q²,

where q is the reduction in toxicity (in pounds of PCPs removed per day) and C(q) is the daily cost (in dollars) of this reduction.

(a) Find the cost of removing 10 pounds of PCPs per day.
$

(b) Government subsidies for toxic waste cleanup amount to

S(q) = 480q,

where q is as above and S(q) is the daily dollar subsidy. The net cost function is given by N = C − S. Give a formula for N(q).

N(q) =

Interpret your answer.

This is the cost of removing q ounces of PCPs per day after the subsidy is taken into account. This is the cost of removing q ounces of PCPs per day before the subsidy is taken into account.     This is the cost of removing q tons of PCPs per day before the subsidy is taken into account. This is the cost of removing q pounds of PCPs per day before the subsidy is taken into account. This is the cost of removing q pounds of PCPs per day after the subsidy is taken into account.

(c) Find N(20).
$

Interpret your answer.

This is the cost of removing 20 pounds of PCPs per week. This is the cost of removing 20 pounds of PCPs per day.     This is the cost of removing 20 tons of PCPs per day after the subsidy is taken into account. This is the cost of removing 20 pounds of PCPs per day after the subsidy is taken into account. This is the cost of removing 20 pounds of PCPs per day before the subsidy is taken into account.

Answer 1