A commodity has a demand function modeled by  p = 106 − 0.5x  and a total cost function modeled by  C = 30x + 33.75,  where x is the number of units. (a)   What unit price (in dollars) yields a maximum profit? $  per unit   (b)   When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.) $  per unit

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