In: Economics
If demand is :Qd = 850 - 15 P and supply is: Qs = 100 + 15 P
Where: Qd = quantity of the good demanded.
Qs = quantity of the good supplied.
P = price of the good.
Part 1: The equilibrium price is ____________
Part 2: The equilibrium quantity is ____________
Part 3: An imposed price of 15 yields an excess __________ of ____________ units.
Part 4: Assuming a change in consumer preference shifts the demand curve to Qd'= 680 - 15 P, the new equilibrium price is ____________
Part 5: With the new demand in part 4, the new equilibrium quantity is ____________
Part 1 and 2)
•Qd=850-15P
•Qs=100+15P
At Equilibrium Qd=Qs
850-15P=100+15P
750= 30P
P*=Equilibrium price
Equilibrium price= 25
Q*= Equilibrium quantity
Q*= 850-15(P*) or 100+15(P*)
Equilibrium quantity= 475
Part 3) At a price of 15
Qd= 850-15P
Qd= 850-15(15)
Qd= 625
Qs= 100+15P
Qs= 100+15(15)
Qs= 325
Excess demand= 625-325 = 300
Part 4 and 5)
•New Qd'= 680-15P
• Qs=100+15P
At new Equilibrium, New Qd'= Qs
680-15P=100+15P
580=30P
P'= 58/3
Q'= 680-15(P') or 100+15(P')
Q'= 390
P'= New Equilibrium price
New Equilibrium price= 58/3
Q'= New Quantity
Q'= 390