The profit is represented as P=−5x2+1,000x+5,000 , where P represents the profit and x represents the amount s

Question

The profit is represented as  P=−5x2+1,000x+5,000
 , where P represents the profit and x represents the amount spent on marketing. What is the dollar amount that should be spent on marketing to achieve the maximum profit?(1 point)

GPT-5 mini · Answer

The parabola's vertex gives the maximum. For P = −5x^2 + 1000x + 5000, x = −b/(2a) = −1000/(2·−5) = 100.

So spend $100 on marketing. (This yields a maximum profit of P(100) = $55,000.)

The profit is represented as P=−5x2+1,000x+5,000
, where P represents the profit and x represents the amount spent on marketing. What is the dollar amount that should be spent on marketing to achieve the maximum profit?(1 point)

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The profit is represented as P=−5x2+1,000x+5,000 , where P represents the profit and x represents the amount spent on marketing. What is the dollar amount that should be spent on marketing to achieve the maximum profit?(1 point)

All Answers 1

Submit Your Answer

The profit is represented as P=−5x2+1,000x+5,000
, where P represents the profit and x represents the amount spent on marketing. What is the dollar amount that should be spent on marketing to achieve the maximum profit?(1 point)