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The next 3 questions involve the following supply and demand equations Supply: q(1/4)P Demand: q 6- (1/2)p 16. What is the ma
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Answer #1

Problem 16

Supply, q=(1/4)p

Demand=q=6-(1/2)p

In equilibrium, quantity demanded=quantity supplied

6-(1/2)p=(1/4)p

(3/4)p=6

p*=(6*4)/3=$8

Quantity demanded=6-(1/2)*p=6-(1/2)*8=2

Quantity supplied=1/4p=1/4*8=2

Equilibrium quantity=q*=2

Correct option is

A p*=$8 and q*=2

Problem 17

At a price floor of $10

Quantity demanded=6-(1/2)*p=6-(1/2)*10=1

Quantity supplied=1/4p=1/4*10=2.50

Surplus=Estimated quantity supplied-Estimated quantity demanded=2.50-1=1.50

Correct Option is

B 1.5

Problem 19

P qs=1/4p qd=6-(1/2)p
0 0 6
1 0.25 5.5
2 0.5 5
3 0.75 4.5
4 1 4
5 1.25 3.5
6 1.5 3
7 1.75 2.5
8 2 2
9 2.25 1.5
10 2.5 1
12 3 0

as d 1 1 2 3 4 5 6 7

Dead weight loss=Area of triangular area=1/2*(2-1)*(10-4)=$3

Correct Option is

B. $3

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