Question

Find the demand equation using the given information. (Let x be the number of items.) A...

Find the demand equation using the given information. (Let x be the number of items.)

A company finds that at a price of $150 each it can sell 60 items. If the price is raised $10, then 20 fewer items are sold.

D(x) =  

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Answer:

P1 = 150

X1 = 60

P2 = 150 + 10 = 160

X2 = 60 - 20 = 40

Let d(x) = a - bx

From 1st case

150 = a- 60b

2nd case

160 = a - 40b

Subtracting 2 from 1 to find a

=> 10 = 20b

b = 0.5

a = 180

The demand equation is D(x) = 180 - 0.5b

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