question archive This problem involves using supply and demand equations
Subject:MathPrice:2.84 Bought7
This problem involves using supply and demand equations.
Suppose the market is defined by
Demand: Q = 154 - 2P
Supply: Q = 2 + 2P
At a price of P = 17, what is the size of the shortage that will exist in the market?
Type in the amount of the shortage at price P = 17.
Shortage in supply
Q = 42
Demand
Q = -42
Step-by-step explanation
Firstly we get the equilibrium price of supply and demand by equating supply and demand equation equal to each other.
Supply = demand
2 + 2P = 154 - 2P
4P = 152
P = 38
When price is equal to 17, let us compute the shortage in supplies of the market
Supply:
Q(38) - Q(17)
[2 + 2(38)] - [2 + 2(17)]
= 78 - 36
Shortage in supply = 42
Demand:
Q(38) - Q(17)
[154 - 2(38)] - [154 - 2(17)]
= 78 - 120
Demand = -42
Means that market needs to supply more to the people because shortage in supply will cause for people to demand more in the market