1. Suppose demand and supply for eggs are given by the following equation:
Qd = 100-20P
Qs = 10 at 40P
Where Qd = number of eggs purchased yearly
Where Qs = number of eggs farms would sell yearly
Where P = price per dozens of eggs
a) Fill in the following table
Price Per Dozen
Quantity Demanded (Qd)
Quantity Supplied (Qs)
5.00
6.00
6.50
7.00
7.50
b) Use the information to find the equilibrium price and equilibrium quantity,
c) Graph the demand and supply curves and identify the equilibrium price and quantity.
Given:
The demand function for eggs is: Qd = 100 − 20P
Qd = 100 - 20P
The supply function for eggs is: Qs = 10 + 40P
Qs = 10 + 40P
To Find:
Part-A)
The QD will be derived when inserting the price 5:
Qd = 100 − 20P
Qd = 100 − 20 (5)
Qd = 100 − 100
Qd = 0
Qd = 100 - 20PQd = 100 - 20 5Qd = 100 - 100Qd = 0
The QS will be derived when inserting the price 5:
Qs = 10 + 40P
Qs = 10 + 40 (5)
Qs = 10 + 200
Qs = 210
Qs = 10 + 40P
Qs = 10 + 40(5)
Qs = 10 + 200
Qs = 210
Therefore, the table will be filled as shown through above calculations:
Tabular Data:
Thus, in the above-shown table, as demand is less or negative to that of supply, there occurs the situation of EXCESS SUPPLY.
Part-B)
equilibrium is that point where the quantity demand and quantity supply are equal:
Qd=QS
"100-20P=10+40P"
"90=60P"
P"=1.5 (EQUILIBRIUM -PRICE)"
"Q=70 (EQUILIBRIUM -QUANTITY)"
Part-C)
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