# financial mgmt

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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 -

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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