A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(x) = 0.000001x3 − 0.01x2 + 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(x) = −0.02x2 + 150x; (0 ≤ x ≤ 7,500)

a)Find the total cost function C.

b)Find the total profit function P.

c)What is the profit for the company (in dollars) if 1,500 units are produced and sold each week?