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Imagine that the Australian national rugby union has exclusive rights to organize the games played by the national team. Rugby AU decides that the next match, between the Wallabies and the All Blacks, will be hosted at the Marvel Stadium in Melbourne. Rugby AU has no fixed costs for organizing the game, but it must pay a marginal
cost MC of $20 per seat to the owners of the Marvel Stadium. Two types of tickets will be sold or the game: concession and full fare. Based on any official document that attests to their age, children and pensioners qualify to purchase concession tickets that offer a discounted price; everyone else pays the full fare. The demand for full-fare tickets is QF(P) = 120 – 2P. The demand for concession tickets is QC(P) = 80 – 2P.
Q)Suppose that Rugby AU becomes unable to verify the age of its customers; thus, the formerly distinct full fare and concessional ticket markets must be combined/merged in one single market. First, write the equation of the merged demand and show it using a diagram. Then show and calculate the profit maximizing price and number of tickets that Rugby AU will choose to sell, as well its profit.
Q) If the government (seeking to maximize social welfare) could mandate which type of
market Rugby AU should operate, should it opt for requiring distinct full fare and
concession ticket markets, or just one single merged market? Justify your answer.
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