# maximizing profit calculus

During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for \$10 each and his sales averaged 20 per day. When he increased the price by \$1, he found that he lost two sales per day.

a. Find the demand function, assuming it is linear.
b. If the material for each necklace costs Terry \$6, what should the selling price be to maximize his profit?

for a, i got y=-.5x+20

i got the slope by: p(20)=10 and p(18)=11

how do i do part b

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