a. consider a demand curve of the form Qd=-2p+20 where Qd is the quantity demand
ID: 1252187 • Letter: A
Question
a. consider a demand curve of the formQd=-2p+20
where Qd is the quantity demanded of a good and P is the price of the good. graph this demand curve. Also draw a graph for the supply
Qs=2p-4
where Qs is the quantity supplied. Be sure to put P on the vertical axsis. Assume that all the Qs and Ps are nonnegative for parts a, b, and c. At what vaules of P and Q do these curve intersect that is, where does Qd=As
b. Now suppose at each price that individuals demand four more units of output--that the demand curve shift to Qd=-2p+24
Graph this new demand curve. At what values of P and Q does the new demand curve intersect the old supply curve--that is, where does Qd=Qs
c. Now finally, suppose
Explanation / Answer
-2P+20=2P-4
= 2p+2P = 4+20
= 4P = 24
= P=24/4 ==6
P=6
now plug in 6 for P in QD
-2*P+20
=-2(6) + 20
= -12+20
Q= 8
QD=QS at P=6, Q=8
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B)same thing but change 20 to 24 in QD
-2P+24=2P-4
.....28=4P
=28/4
=7
P=7
now plug in 7 for P in QD
-2*P+20
=-2(7) + 24
= -14+24
Q=10
QD=QS at P=7, Q=10
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C)same idea, this time change 2P-4 --> 2P-8
-2P+24=2P-8
= 2p+2P = 8+24
= 4P = 32
= P=32/4 ==8
P=8
now plug in 8 for P in QD
-2*P+24
=-2(8) + 24
= -16+24
Q=8
QD=QS at P=8, Q=8
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