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A study of a country’s colleges and universities resulted in the demand equation q= 20,000−2p, where q is the enrollment at a public college or university and p is the average annual tuition (plus fees) it charges. Officials at Enormous State University have developed a policy whereby the number of students it will accept per year at a tuition level of p dollars is given by q=8,500+ 0.5p.Find the equilibrium tuition price p and the consumers’ and producers’ surpluses at this tuition level. What is the total social gain at the equilibrium price?

A study of a country’s colleges and universities resulted in the demand equation q= 20,000−2p, where q is the

enrollment at a public college or university and p is the average annual tuition (plus fees) it charges. Officials at Enormous State University have developed a policy whereby the number of students it will accept per year at a tuition level of p dollars is given by q=8,500+ 0.5p.Find the equilibrium tuition price p and the consumers’ and producers’ surpluses at this tuition level. What is the total social gain at the equilibrium price? 

 
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