SOLUTION: Jeremy sells 120 handmade ornaments per week at $4 per ornament. For each $0.50 decrease in price, he can sell 20 more ornaments. a) Write an equation for his revenue. b) What pr

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Question 1080657: Jeremy sells 120 handmade ornaments per week at $4 per ornament. For each $0.50 decrease in price, he can sell 20 more ornaments.
a) Write an equation for his revenue.
b) What price should Jeremy charge to maximize revenue?

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
PRICE    ORNAMENTS
 4         120
 3.5       120+20
 3.0       120+20+20
 2.5       120+20+20+20
 .
 .
 4-0.5x   120+20x

Revenue, , x is the number of $0.50 decreases from initial $4 price. or , .



Maximum is exact middle of the zeros of r.
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, by itself, not an acceptable value for x.
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-
Exact middle of the zeros:

Maximum revenue would be at x=1, or dollars per ornament.

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