SOLUTION: . 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

Question 1023625: . 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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
P(x) = �0.002 x^2 + 4.1x � 1200
Replace x with 600 and find P(x)
P(x) = -.002(600^2) + 4.1(600) - 1200
P(x) = -.002(360000) + 2460 - 1200
P(x) = -740 + 2460 - 1200
P(x) = $540 profit when 600 donuts are made
:
(b) How many donuts should be made daily in order to maximize the company�s profit?
The quadratic equation; y = �0.002 x^2 + 4.1x � 1200; find the axis of symmetry x = -b/(2a)
a=-.002; b=4.1
x =
x = 1025 donuts will give max profit

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