The following formulas represent the demand and supply curves
for corn:
QD = 1,600 – 125 * P
QS = 440 + 165 * P
Calculate the equilibrium price and quantity in this market and
illustrate this graphically. Suppose corn becomes less popular so
the market demand curve is now given by QD = 1,020 – 125 * P.
Calculate the new equilibrium price and quantity and illustrate the
movement from the old equilibrium to the new one graphically.
Answer
the equilibrium is at Qd=Qs
1600-125P=440+165P
290P=1160
P=4
Q=1600-125*4
Q=1100
the equilibrium price is $4, and the quantity is 1100 units
after the change in demand
1020-125P=440+165P
290P=580
P=2
Q=1020-125*2
Q=770
the new price is $2, and the quantity is 770 units

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