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MATH 110 How many tables should be made per day

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MATH 110 How many tables should be made per day

The daily profit P in dollars of a company making tables is described by the function P(x)= -5x^2+260x-2975, where x is the number of tables that are manufactured in 1 day. The maximum profit of the company occurs at the vertex of the parabola. How many tables should be made per day in order to obtain the maximum profit for the company? what is the maximum profit?