3. The financial department in a company that produces a digital camera arrives at the following price-demand function, corresponding revenue function and cost function as following. Price-demand function p(x) = 94.8 - 5x Revenue function R(x) = xp(x) = x(94.8 - 5x) Cost function C(x)= 156 + 19.7x where p(x) is the wholesale price in dollars at which z million chips can be sold, R(x) is in millions of dollars and where C(r) is the cost (in millions of dollars) for manufacturing and selling a million cameras. Both functions have domain 1 x 15. (a) (10 points) Using the revenue function and the cost function write a an equation for the profit function. (b) (5 points) Find the value of a to the nearest thousand cameras that will generate the maximum profit? What is the maximum profit to the nearest thousand dollars? (c) (5 points) What is the wholesale price per chip that produces the maximum profit? (a) (10 points) Sketch a graph of the following functions using transformation methods. f(x) = (x+3) +4 (b) (10 points) Solve the equation log, (x - 10) - log, 3 = 2 for x.