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(d) Find the level of sales that maximizes profit and find the maximum profit. (e) What should the price of a TV be to

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(d) Find the level of sales that maximizes profit and find the maximum profit. (e) What should the price of a TV be to maximize the profit? 5. A company that manufactures and sells portable TV's has fixed costs of $325 and variable costs of $55 per TV. Let x be the total number of TV's. Suppose further that the selling price of each TV is $(125 - x) dollars. p(x) = 125 - x Selling price per TV Total Cost C(x)=55x+325 R(x) = x p(x) Total Revenue (a) Write the function for revenue as a function of x and expand. (b) Find the break-even quantities. Show the equation you solve to find them. (c) Write the profit function and simplify it.

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