SOLUTION: A company finds that it can make a profit of P dollars each month by selling
x patterns, according to the formula
P(x)=-.002x^2+5.5x-1400. How many patterns must it sell each mon
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-> SOLUTION: A company finds that it can make a profit of P dollars each month by selling
x patterns, according to the formula
P(x)=-.002x^2+5.5x-1400. How many patterns must it sell each mon
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Question 1204337: A company finds that it can make a profit of P dollars each month by selling
x patterns, according to the formula
P(x)=-.002x^2+5.5x-1400. How many patterns must it sell each month to have a maximum profit?
To attain maximum profit they must sell
patterns.
What is the maximum profit?
The max profit is $
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A company finds that it can make a profit of P dollars each month by selling
x patterns, according to the formula
P(x)=-.002x^2+5.5x-1400. How many patterns must it sell each month to have a maximum profit?
To attain maximum profit they must sell
patterns.
What is the maximum profit?
The max profit is $
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They want you find the maximum of the quadratic function P(x) = ax^2 + bx + c = -0.002x^2 + 5.5x - 1400.
The general theory says that the maximum is attained at = = = = 1375.
To get the value of the maximum profit, substitute this value = 1375 into the formula for the profit.
You will get
= -0.002*1375^2 + 5.5*1375 - 1400 = 2381.25 dollars.
ANSWER. = 1375 patterns.
= 2381.25 dollars.
