1. The local swimming pool charges nonmembers $10 per visit. If you join the pool, you can swim for $5 per visit, but you have to pay an annual fee of F.

Use an indifference curve diagram to find the value of F such that you are indifferent between joining and not joining. Put trips to the swimming pool on the x-axis and money spent on all other goods on the y-axis. Assume the price of all other goods is $1. Clearly label the amount F on the graph. Clearly identify how much is chosen under both options.

Would you go to the pool more or fewer times if you join the pool? Use your graph from part a to answer.