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A city has decided to build a softball complex and the city council has already

ID: 2652499 • Letter: A

Question

A city has decided to build a softball complex and the city council has already voted to fund the project at the level of $800,000 (initial capital equipment). The city engineer has collected the following financial information for the complex project

Annual upkeep costs: $120,000

Annual utility costs: $13,000

Renovation costs: $50,000 for every five years

Annual team user fees (revenues): $32,000

Useful life: Infinite

Interest rate: 8% compounded annually

If the city can expect 35,000 visitors to the complex each year, what should be the minimum ticket price per person so that the city can break even?

Explanation / Answer

Solution:

In order to calculate minimum ticket price per person, to get the break- even, we first need to calculate the annual fixed costs of the City

                            Annual Fixed Cost of the City

                         1. Annual upkeep costs    =    $ 120,000

   2. Annual utility costs           =    $   13,000              

   3. Renovation costs    =    $ 10,000 ( since, given $ 50,000 for 5 years, $ 50,000 / 5 )

                         4. Annual team user fees      =     $   32,000

                         5. Annual Interest Expense   =     $   64,000 ( 8 % * $ 800,000, initial capital equipment)

                              Total Fixed Costs           =     $ 239,00

                               Visitors Expected each year = 35,000

                                     Break - Even = Fixed Cost / number of visitors each year

                                                         = $ 239,000 / 35,000

                                                         = $ 6. 83 per visitor.

     Therefore, to reach break - even the city need to charge minimum ticket of $ 6. 83 per visitor.

                      

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