In: Economics
The daily demand for hotel rooms on Miami in Florida is given by the equation Qd= 150,000 – 275P. The daily supply of hotel rooms on Miami is given by the equation Qs= 25,000 +312.5P. Diagram these demand and supply curves in the price. What is the equilibrium price and quantity of hotel rooms on Miami?
Qd= 150,000- 275P
When P=0, Q=150,000
When Q=0. P=545.45
By plotting this we get the demand curve.
Qs= 25,000 + 312.5 P
When P=0 , Q=25,000
By plotting this we get the supply curve.
At equilibrium Qd=Qs, we get :
150,000-275P = 25,000 + 312.5P
125000 = 587.5P
P= 212.76 (Equilibrium price)
Q= 150,000- 275(212.76)
Q= 150000- 58509 = 91491 (Equilibrium quantity)