Dental Plans A company pays for its employees’ dental coverage at an annua...

Dental Plans A company pays for its employees’ dental coverage at an annual cost C given by

where q is the number of employees covered and C(q) is the annual cost in dollars.

a. If the company has 100 employees, find its annual outlay for dental coverage.

b. Assume that the government subsidizes coverage by an annual dollar amount of

S(q) = 200q.

The net cost function is given by N = C − S. Give a formula for N(q) and interpret your answer.

c. Find N(100) and interpret your answer.