Suppose a company has fixed costs of $43,200 and variable cost per unit of $ frac{4}{9} + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is $2157 - frac{5}{9}x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 41376,25143.67 (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function P(x) from the cost and revenue functions. P(x) = Find maximum profit. $ (d) What price will maximize the profit? (Round your answer to the nearest cent.) $
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We are given the cost function, P(x), and the selling price per unit. We need to find the profit function and then maximize it. Let's assume the cost function is P(x) = 543 + 200x and the selling price per unit is 333 dollars. The profit function can be found by Show more…
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