In: Economics
League Competition: Suppose the demand for soccer teams in the US is given by: P(Q) = 320−10Q where Q is the total number of soccer teams and Pi s the marginal willingness to pay for the Qth team (in millions). The cost to start a new team is c= 20
Two Leagues: First, suppose are two leagues (Major League Soccer and the National Soccer League) that are choosing how many teams to have, so that Q=qm+qn.
a Find the equilibrium number of teams for the MLS.
b Find the equilibrium number of teams for the NSL.
c What are profits for the MLS?
d What are profits for the NSL?
e What is consumer surplus?
Merger: Now assume the leagues merge to form one league (Premier USA). After the merger demand increases to:P(Q) = 360−10Q
a What is total surplus (consumer surplus and profit)?
b Is consumer surplus more or less than the pre-merger surplus?