The price p (in dollars) that the manufacturer of a portable digital music player is able to charge for the player is given by p=135-4x^2 where x is the number (in millions) of music players produced. It costs the company $54 to make each music player. a. Write an expression for the company’s total revenue (in millions of dollars) in terms of x.

b. Write an equation for the company’s total profit P by subtracting the total cost of making x music players from the expression in part (a).

c. Currently, the company produces 4 million music players and makes a profit of $68,000,000. Write and solve an equation to find a lesser number of music players that the company could produce and still make the same profit.

d. Do all of the solutions in part (c) make sense in this situation? Explain.