6. [3/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Profit from Sale of Pagers A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $16,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(x) = 0.000001x- 0.01x + 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(x) = -0.02x + 150x; (0 x 7,500) (a) Find the total cost function C. C(x)=0.000001x-0.01x + 50x + 16,000 (b) Find the total profit function P. P(x) = -0.000001x-0.01x + 100x16,000 (c) What is the profit for the company (in dollars) if 3,300 units are produced and sold each week? $169163 (d) What is the rate at which the profit is changing when 3,300 units are produced and sold each week? (To find this value, you will need to find the AROC over smaller and smaller intervals until the ROC can be determined to the nearest cent.) dollars/pager