Recall the regulation model where legislators apply regulations to garner votes. Votes are a function of producer utility (UR ) and consumer utility (UC ). The legislator’s vote/utility function is V = V(UR , UC ). If U R = R, and U C = K – R – L, where K is a constant and R and L are the typical monopoly versus competitive market outcome below. Obviously, both U R and U C are affected by the eventual price (P) set by the legislator because both R and L are affected by that price. (a) Now suppose the demand equation is given by P = 100 - Q , and MC = $20. Write R as a function of the price and show that the price that maximizes producer utility is $60. (b) Given the MC and demand equation above, find the maximum possible consumer surplus (hint: this will be when the market is competitive). (c) Now suppose that (in addition to the information in parts d and e), the legislator gets votes according to V (U R, U C ) = 3U R + U C . Find the price that maximizes the legislator’s votes.
1. Recall the regulation model where legislators apply regulations to garner votes. Votes are a function of producer utility (UR ) and consumer utility (UC ). The legislator’s vote/utility function is V = V(UR , UC ). If U R = R, and U C = K – R – L, where K is a constant and R and L are the typical
Obviously, both U R and U C are affected by the eventual
(a) Now suppose the
(b) Given the MC and demand equation above, find the maximum possible
(c) Now suppose that (in addition to the information in parts d and e), the legislator gets votes according to V (U R, U C ) = 3U R + U C . Find the price that maximizes the legislator’s votes.
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