Sunday, February 5, 2012

How do I calculate the percentage change in price and whether price is rising or falling?

A. Elasticity of demand is 1 and elasticity of supply is 2. Demand increases 30%.How do I calculate the percentage change in price and whether price is rising or falling?
Elasticity of demand = slope of price elasticity of demand at that point

Here it is 1.

dD/dP =1 ie magnitudes and directions of changes are same in both.

so Price is also increasing by 30%

second part says dS/dP =2 ie supply would increase by 60%.How do I calculate the percentage change in price and whether price is rising or falling?
When elasticity of demand is 1 and demand increases by 30%

% change in quantity demanded / % change in price or,

30/ dp= 1

or dp = 30

Price is increasing and it is a superior good ( as supply elasticity is 2, supply also increases) and law demand does not hold. Supply increases at the time when price increases due to prospect of earning more.How do I calculate the percentage change in price and whether price is rising or falling?
Elasticity of demand is the %change in quantity over the %change in price. So set 1 = 30/x and solve for X. In this case price changed by 30% as well. Because the elasticity is positive, you know that both the demand and price moved in the same direction, so they both increased by 30%



An elasticity of supply greater than one means it is elastic. This means the suppliers will be willing and able to make more at a higher price

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