?During the summer months Terry makes and sells necklaces on the beach. Last summer she

Chapter 4, Problem 68

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QUESTION:

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

(a) Find the demand function, assuming that it is linear.

(b) If the material for each necklace costs $6, what selling price should Terry set to maximize her profit?

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QUESTION:

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

(a) Find the demand function, assuming that it is linear.

(b) If the material for each necklace costs $6, what selling price should Terry set to maximize her profit?

ANSWER:

Step 1 of 3

(a)

If the necklace cost is  then the number of necklaces sold per day is 20. If the cost is increased by  then sales decreased by 2.

Suppose that demand function is  since it is linear.

It is the price per necklace.

It is stated that

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