Suppose Jose has a demand curve for tennis games (x) given by x = 60 3p where p is the price of one tennis game. There is a local tennis club that charges its members a fee of f dollars to join and play tennis at a price of p = 10. Assume that this club is Jose's only option for consuming tennis games. Find _ f, the largest fee the club can charge and still get Jose to join.
Graphically show Jose's demand curve and its relation to _ f. Hint: How much is Jose willing to pay to join the club?