11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p = 80-5x) dollars. The price function for shoe B is (q = 100 6y) dollars, where (x) and (y) are the numbers of shoe A and shoe B sold per day. The company's cost of producing each shoe A is $20/shoe and the cost of producing each shoe B is $16/shoe. The fixed costs are $200/day. a. Find the Revenue function from selling these two types of shoes. b. Find the Cost function. c. Find the Profit function.

A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.

Find the value of x if a linear function goes through the following points and has the following slope: (x, 2), (−4, 6), m = 3.