Messages Forums Calendar Gradebook ATH 095 Algebra for Precalculus (MTWTh 8:00 A

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Messages Forums Calendar Gradebook ATH 095 Algebra for Precalculus (MTWTh 8:00 AM-9:30 AM Sunner 2018)?Asessment ce Set -9.2 Due Sun 07129/2011 ctures pichure frames. The weekly profit finction is given by Ple)- 2+100-880. ions What is the profit/loss when 25 picture firames are manufactured? Find the quantity that maximizes weekly profit and the maxinun weekly profit. Quantity- Maximun profit s [10/10] 2 [10/10] 10/10] 10) /10) 6 10/10) 7 (0/10) 8 (0/10) 9 (0/10) 10 (0/10) 11 (0/10) 12 (0/10) Points possible: 10 This is attempt 1 of 4. Post this question to forum : 30/120 Submit Verston Type here to search

Explanation / Answer

Answer

The weekly profit function is given by

P(x) = -2x2 + 100x - 880

When x = 25 , we have

P(25) = -2(25)2 + 100(25) - 880

= -2(625) + 2500 - 880

= - 1250 + 2500 - 880

= 370

The profit when 25 frames are manufactured is $ 370

To maximize the weekly profit , set P'(x) =0

That is -4x + 100 = 0 implies that x= 25

Therefore, the quantity that maximizes the weekly profit is x = 25

And the maximum profit is P(25) = $ 370

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