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Part A Mary owns a store that sells computers. Her profit in dollars is represented by the function P(x)=x^3-22x^2-240x where x

Question

Part A Mary owns a store that sells computers. Her profit in dollars is represented by the function P(x)=x^3-22x^2-240x where x

Part A
Mary owns a store that sells computers. Her profit in dollars is represented by the function
P(x)=x^3-22x^2-240x where x

Solution

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WilfredVeteran · Tutor for 9 years

Answer

<br />A. -480<br />B. 15

Explain

Part A requires you to substitute 12 into the function to find the profit when 12 computers are sold. Part B is about finding the maximum value of the cubic function P(x), which occurs where the slope of function is zero.<br />For parasites, differentiation is done and equality to zero, the x part represents how many computer sales the shopkeeper can obtain to make maximum profit.
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