The market for concession tickets (C)!

Consider the following simplified scenario. Imagine that the Australian national rugby union (for short, Rugby AU) 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 (i.e., the Australian and the New Zeeland national rugby teams), 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 for 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 concession tickets is QC(P) = 80 - 2P.

i) Cross subsidization: Suppose the government wishes to finance the total cost of the subsidy given in h) for concession tickets by taxing the tickets sold at full fare. Can you find the minimum amount of tax per unit t that the government would have to charge Rugby AU for the tickets sold at full fare in order to cover the total subsidy needed for the concession tickets? Justify your answer.