A local swimming pool charges nonmember $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 optimal choice model to find the value of F such that you are indifferent between joining and not joining. Suppose that the pool charged you exactly that F. Would you go to the pool more or fewer times than if you did not join? For simplicity, assume that the price of all other goods is $1.

Tri fecta, a partnership, had revenues of $369,000 in its first year of operations. the partnership has not collected on $45,000 of its sales and still owes $39,500 on $155,000 of merchandise it purchased. there was no inventory on hand at the end of the year. the partnership paid $27,000 in salaries. the partners invested $48,000 in the business and $23,000 was borrowed on a five-year note. the partnership paid $2,070 in interest that was the amount owed for the year and paid $9,500 for a two-year insurance policy on the first day of business. compute net income for the first year for tri fecta.