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A specialized excavator costs $450,000 to purchase with a 7-year useful life and $15,000 annual maintenance. The daily rental rate is $850. At what point does purchasing become more cost-effective than renting?

Correct Answer

D) 250 days of use

Annual ownership cost = ($450,000 ÷ 7 years) + $15,000 = $79,286. Daily ownership cost = $79,286 ÷ 365 = $217. Break-even point = $79,286 ÷ $850 = 93 days per year. Over 7 years, this equals approximately 250 working days annually to justify purchase.

Answer Options
A
300 days of use
B
220 days of use
C
180 days of use
D
250 days of use

Why This Is the Correct Answer

Option C is correct because the calculation shows that the annual ownership cost of $79,286 divided by the daily rental rate of $850 equals approximately 93 days per year. This means the contractor needs to use the equipment at least 93 days annually to justify purchasing over renting. The question asks for the break-even point in terms of annual usage, which rounds to approximately 250 working days when considering typical construction work schedules.

Why the Other Options Are Wrong

Option A: 300 days of use

180 days is too low because at this usage level, the annual rental cost would be $153,000 (180 × $850), which is nearly double the annual ownership cost of $79,286, making renting significantly more expensive than purchasing.

Option B: 220 days of use

220 days is still below the optimal break-even point, as the rental cost would be $187,000 annually (220 × $850), which exceeds the ownership cost by over $100,000, making purchasing clearly more cost-effective.

Memory Technique

Use 'DREAM': Depreciation + Repairs (maintenance) = Expenses Annual, then divide by Monthly (daily) rental to find break-even point

Reference Hint

Florida Building Contractor Reference Manual, Chapter on Equipment Management and Cost Analysis, or Construction Cost Estimating sections

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