The functions are and
.
represents quantity supplied of T-shirts.
represents quantity demanded of T-shirts
And represents the price of T-shirts.
(a)
\Find the equilibrium price and equilibrium quantity for T-shirts.
\Equilibrium Price is obtained .
Substitute and
in the equation
.
Equilibrium price is $ .
Equilibrium quantity is obatined at equilibrium price.
\Substitute in
.
Equilibrium quantity is T-shirts
(b)
\Find the price when quantity demanded is greater than quantity supplied i.e..
Substitute and
in the equation
.
The demand should be greater than zero, hence .
(c)
\When quantity demanded is greater than quantity supplied, the price will eventually increased.
\(a) Equilibrium price is $16 and Equilibrium quantity is T-shirts.
(b)
(c) The price will be eventually increased.