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 – 1600
(a) What is the company’s
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-> 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 – 1600
(a) What is the company’s
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Question 1040512: 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 – 1600
(a) What is the company’s profit if 700 donuts are made daily? answer___
(b) How many donuts should be made daily in order to maximize the company’s profit? Show work Found 2 solutions by stanbon, josmiceli:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the profit P, in dollars, is given by
P(x) = –0.002 x2 + 4.1x – 1600
(a) What is the company’s profit if 700 donuts are made daily?
answer:: P(700) = -0.002*700^2 + 4.1*700 - 1600 = $290.00
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(b) How many donuts should be made daily in order to maximize the company’s profit?
Max occurs when x = -b/(2a) = -4.1/(2*-0.002) = -4.1/-0.002 = 4100/2 = 2050
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Cheers,
Stan H.
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You can put this solution on YOUR website!
This is a parabola with a maximum.
(a)
$290 is the profit when 700 donuts are made
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(b)
The formula for the x-value of the maximum is:
To find , plug back
into the equation
The maximum profit, making 1025 donuts is $501.25
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