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the supply of measels vaccines is given by Q=450*P. The demand for measles vacci

ID: 1202996 • Letter: T

Question

the supply of measels vaccines is given by Q=450*P. The demand for measles vaccine is given Q=20,000-50*P. A. what is the market equilibriumprice and quanity? B. The demand curve implies that private willingness to pay is P=400-Q/50. However ecternal benefits are associated with each measles vaccination, so the social deman curve is Q=20,000-50*(P-5). What are the equilibrium price and quanitiy if these external bebenfits are considered? C. Propose an intervention that will result in this equilibrium volume.

Explanation / Answer

Equilibrium is attained when demand price= supply price

Here , P= Q/450 Supply function, P=400-Q/50 is the demand function

Equating the two we get,

Q/450 = 400-Q/50

Q/450+Q/50 = 400

10Q/450 =400

Q= 400* 450/10= 18000

Also, P= Q/450 = 18000/450 = 40

Using the new social demand curve,

Q= 20000 - 50P + 250

P= (20000-Q+250)/50

Equating this with supply equation,

Q/450= (20000-Q+250)/50

Q/450+Q/50 = 400+5

10Q/450 = 405

Q= 18225

Now the equilibrium quantity is 18225, P=40.5

Price and quantity both are higher.

c. If the government offers subsidy to the producers, they will increase production or the government can subsidize the consumer they will increase demand for the good