SOLUTION: Please show work Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by P(x) = –0.002 x2 + 4.1x – 1200 (a) What is the c

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Question 1023618: Please show work
Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by
P(x) = –0.002 x2 + 4.1x – 1200
(a) What is the company’s profit if 600 donuts are made daily?
(b) How many donuts should be made daily in order to maximize the company’s profit? Show work.
Found 2 solutions by Emilym1234, MathTherapy:
Answer by Emilym1234(10)   (Show Source): You can put this solution on YOUR website!
For part A, you need to substitute 600 for x. For example, 4.1x = 4.1(600) and solve for P(x)
In part B, you need to find the company's profit, and you need to solve for d. (Doughnuts) so start with d = etc.
hope this helped you in any way possible!
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Please show work
Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by
P(x) = –0.002 x2 + 4.1x – 1200
(a) What is the company’s profit if 600 donuts are made daily?
(b) How many donuts should be made daily in order to maximize the company’s profit? Show work.
a) Subtitute 600 for x and solve for P(600)

b) The number of doughnuts to maximize profit occurs at:  

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