A manufacturer determines that to sell x units of an item, the price per unit will be p = 300 - 0.02x cents. The manufacturer also determines that the cost of producing x units is given by C(x) = 2000 - 50x. How many units must the company produce and sell to maximize profit?
Added by Bego-A N.
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Profit is revenue minus cost, so: Profit = Revenue - Cost Profit = (Price per unit * Number of units sold) - Cost Profit = (300 - 0.02x) * x - (2000 - 50x) Profit = 300x - 0.02x^2 - 2000 + 50x Profit = -0.02x^2 + 350x - 2000 Show more…
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