Posted by **cindy** on Monday, February 9, 2009 at 10:18am.

Ettenheim village is considering building a town swimming pool. The annual facility cost would be $200,000. Staff salaries for the pool, which would only be open during the summer would be $75,000. Other fixed cost would be $20,000 a year. There are other expenses of $50 per person per season.

Marketing studies suggest that the village residents would be willing to spend $150 a year for an individual membership and $300 for family membership. On average families in the village have 3 people. How many members will have to join each year to make the pool cover its cost. Assume that 75% of the memberships are family memberships

- financial mgmt -
**drwls**, Monday, February 9, 2009 at 10:41am
Let N be the number of members. The annual revenue from memberships will be

(0.75N)x150 + (0.25N)x300 = 187.5 N

Add up the annual costs, which look to me like

295,000 + 50 N,

set that equal to 187.5 N and solve for N. That will give you the break-even value of N.

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