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A commodity has a demand function modeled by p = 106 0.5 x and a total cost function modeled by C = 30 x +

A commodity has a demand function modeled by

p = 106 0.5x and a total cost function modeled by

C = 30x + 31.75, where x is the number of units

.(a)What unit price (in dollars) yields a maximum profit?

When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.)

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