Matt Mona is in the process of purchasing a motel near a college town. Themotel costs $3,500,000. The lot costs $500,000. Furniture and furnishings cost $700,000 and should be recovered in seven years (seven-year MACRS property), while the cost of the motel building should be recovered in 39 years (39-year MACRS real property placed in service on January 1). The land will appreciate at an annual rate of 5% over the project period, but the building will have zero salvage value after 25 years. When the motel is full (100% capacity), it takes in (receipts) $6,000 per day for 365 days per year. The motel has fixed operating expenses, exclusive of depreciation, of $430,000 per year. The variable operating expenses are $220,000 at 100% capacity and vary directly with percent capacity down to $0 at 0% capacity. If the interest rate is 10% compounded annually, at what percentage capacity must this motel operate in order to break even? (Assume that Matt's tax rate is 30% and the project life is 25 years.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
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Matt Mona is in the process of purchasing a motel near a college town. The
motel costs $3,500,000. The lot costs $500,000. Furniture and furnishings cost $700,000 and should be recovered in seven years (seven-year MACRS property), while the cost of the motel building should be recovered in 39 years (39-year MACRS real property placed in service on January 1). The land will appreciate at an annual rate of 5% over the project period, but the building will have zero salvage value after 25 years. When the motel is full (100% capacity), it takes in (receipts) $6,000 per day for 365 days per year. The motel has fixed operating expenses, exclusive of depreciation, of $430,000 per year. The variable operating expenses are $220,000 at 100% capacity and vary directly with percent capacity down to $0 at 0% capacity. If the interest rate is 10% compounded annually, at what percentage capacity must this motel operate in order to break even? (Assume that Matt's tax rate is 30% and the project life is 25 years.)

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