(Managers at an electronics manufacturer estimate that to sell x units of a particular computer each day, the price of a computer should be P(x) = 2000 - 12x dollars. The total cost to produce all x computers to sell in a day is C(x) = 1275 + 800x dollars. Express the profit as a function of x. A) Plot the profit function using Excel or your favorite software. B) Use methods of calculus to determine the optimal production quantity and the manufacturer's maximum daily profit to the nearest dollar. (Hint: Remember that the profit function is total revenue (quantity * price) minus cost. Compose it from the given functions.)
Added by Stephanie C.
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So, R(x) = P(x) * x. R(x) = (2000 - 12x) * x Show more…
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