Question 1049535
Olivia designs and sells necklaces. The materials for each necklace cost $4. She sells an average of 40 necklaces a week for $8. She would like to raise the price, but for each $0.50 increase she would lose four sales each week. 
a) write an expression to represent the price of each necklace.
Ans: p(x) = (800/40) + 50x = 20 + 50x cents
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b) write an expression to represent the number of necklaces sold per week
Ans: s(x) = 40 - 4x
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c) use your answers in a) and b) to write an expression that represents Olivia's revenue from the sales of her necklaces.
R(x) = price * # of units sold = (20+50x)(40-4x)
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d) Write an expression to represent the cost of materials for the necklaces
C(x) = 4(40+x)
e) Use your answers from c) and d) to write an equation for Olivia's profit
P(x) =  R(x)-C(x) = (20+50x)(40-4x)-(160+4x) in cents
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Cheers,
Stan H.
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