the profit function is given by P= 2X² + 30X – 250, where X units is the quantity and P the total profit. Find the maximum profit and the number of units where the maximum profit occurs. Sketch the...

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the profit function is given by P= 2X² + 30X – 250, where X units is the quantity and P the total profit. Find the maximum profit and the number of units where the maximum profit occurs. Sketch the curve of the profit function

Answered Same DayDec 20, 2021

Answer To: the profit function is given by P= 2X² + 30X – 250, where X units is the quantity and P the total...

Robert answered on Dec 20 2021
112 Votes
P= 2X² + 30X – 250
dP/ dX = 4 X + 30
for maximum or minimum profit dP/dX = 0
 X= -30/4 = -7.5

Min Profit @ x= 7.5
Maximum value of profit @ X= +- inifinity.
X axis = X Y axis = Profit P
0
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-1
6
-1
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-1
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-1
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-1
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-1
1
-1
0...
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