Answer:
Consumer surplus increases by $2
Explanation:
The consumer surplus can be defined as the benefit that consumers gain when they pay less for a good that they are willing to pay more for.
a). Determine the final demand as follows;
Price elasticity of demand=% change in price/% change in demand
where;
price elasticity of demand=-1
% change in price={(Final price-initial price)/initial price}×100
Final price=$24
initial price=$25
% change in price=(24-25)/25=(1/25)×100=-4%
% change in demand=x
replacing in the original expression;
-1=-4/x
x=4%
% change in quantity={final quantity-initial quantity/initial quantity}×100
let final quantity=y
4%={(y-100)/100}×100
0.04=(y-100)/100
4=y-100
y=4+100=104
final quantity=104 units
Consumer surplus=(1/2)×change in price×change in quantity
where;
change in price=25-24=1
change in quantity=104-100=4
Consumer surplus=(1/2)×1×4=2
Consumer surplus increases by $2
