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

Algebra ->  Equations -> 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       Log On


   



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) About Me  (Show Source):
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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 = %28-4.1%29%2F%282%2A-.002%29
x = 1025 donuts will give max profit