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Country Motorbikes Incorporated finds that it costs $200 to produce each motorbike, and that fixed costs are $1300 per day. The price function is p(x)

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Country Motorbikes Incorporated finds that it costs $200 to produce each motorbike, and that fixed costs are $1300 per day. The price function is p(x) = 500 - 5x, where p is the price (i dollars) at which exactly x motorbikes will be sold. Find the quantity Country Motorbikes should produce and the price it should charge to maximize profit. Also find the maximum profit.

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