A firm has monthly average costs, in dollars, given by where x is the number of units

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A firm has monthly average costs, in dollars, given by
45,000 + 100 + x

where x is the number of units produced per month. The firm can sell its product in a competitive market for $1600 per unit. If production is limited to 600 units per month, find the number of units that gives maximum profit, and find the maximum profit.

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