Toxic Waste Treatment The cost of treating waste by removing PCPs goes up...

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

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 clean up amount to

S(q) = 500q,

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) and interpret your answer.

c. Find N(20) and interpret your answer.