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A video game console manufacturer determines that in order to sell x units of a new...

A video game console manufacturer determines that in order to sell x units of a new console, the price per unit, in dollars, must be p=1750-2x . The manufacturer also determines that the total cost of producing x units is given by (Cx)=22500+15x . Find the total revenue function R(x) ? Find the total profit function P(x) ? How many units must the company produce and sell in order to maximize profit? (Use the second derivative test to verify this is a max.) What is the maximum profit? What price per unit must be charged in order to make this maximum profit?

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