SOLUTION: Please help me solve this. The manager of big box store has found that if the price of a pillow is p(x)=100-x/8 then x pillows will be sold. The expression for the total revenue

Algebra ->  Finance -> SOLUTION: Please help me solve this. The manager of big box store has found that if the price of a pillow is p(x)=100-x/8 then x pillows will be sold. The expression for the total revenue       Log On


   

Question 976501: Please help me solve this.
The manager of big box store has found that if the price of a pillow is p(x)=100-x/8 then x pillows will be sold. The expression for the total revenue from the sale of x pillows is R(x) = 100x -x^2/8 Find the number of pillows that will produce maximum revenue.
a) 800 pillows

b) 400 pillows

c) 440 pillows

d) 380 pillows
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The manager of big box store has found that if the price of a pillow is p(x)=100-x/8 then x pillows will be sold.
The expression for the total revenue from the sale of x pillows is
R(x) = 100x -x^2/8
Find the number of pillows that will produce maximum revenue.
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R'(x) = 100- (2/8)x
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R'(x) = 100 - (1/4)x
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Solve: 100-(1/4)x = 0
x = 400
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Cheers,
Stan H.
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a) 800 pillows
b) 400 pillows
c) 440 pillows
d) 380 pillows