At a price of $50 per bookshelf, 145 shelves are demanded by consumers, but at a price of $80 per shelf, only 70 shelves are demanded. The supplier is willing to suppy z bookshelves for a price, in dollars, of p(z) = 0.275z + 6.75. a. What is the market equilibrium quantity of bookshelves? b. What is the market equilibrium price? S

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
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How do i find a and b please

At a price of $50 per bookshelf, 145 shelves are demanded by consumers, but at a price of $80 per shelf, only 70 shelves are demanded.
The supplier is willing to suppy z bookshelves for a price, in dollars, of p(z) = 0.275z + 6.75.
a. What is the market equilibrium quantity of bookshelves?
b. What is the market equilibrium price?
Transcribed Image Text:At a price of $50 per bookshelf, 145 shelves are demanded by consumers, but at a price of $80 per shelf, only 70 shelves are demanded. The supplier is willing to suppy z bookshelves for a price, in dollars, of p(z) = 0.275z + 6.75. a. What is the market equilibrium quantity of bookshelves? b. What is the market equilibrium price?
Expert Solution
Step 1

Assuming demand has Linear relationship with price

  Demand(d)        Pricey        d,y

    14570                      $50$80             145,5070,80

Using two point form of a line,

y-y1=y2-y1d2-d1d-d1y-50=80-5070-145d-145y-50=30-75d-145y-50=-3075d-145y=-0.4d+108  

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