A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 700 + 6x + 0.0003x2. Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 9 − 0.0002x. If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by
Each racket can be sold at a price of p dollars, where p is related to x by the demand equation
If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.
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