Question

A land development company is considering the purchase of earth-moving equipment. This equipment will have an estimated first cost of $199,000, a salvage value of $65,000, a life of 10 years, a maintenance cost of $32,000 per year, and an operating cost of $220 per day. Alternatively, the company can rent the necessary equipment for $1130 per day and hire a driver at $180 per day. If the company's MARR is 10% per year, how many days per year must the company need the equipment in order to justify its purchase?

Answer 1

Step-by-step explanation:

Let the number of days per year that the company will need the equipment in order to justify its purchase b represented by x.

Based on the information given, this will then be:

1130x + 180x = 199000(A/P, 10%,10) - 65000(A/F, 10%, 10), + 32000 + 220x

1310x = 199000(0.1627) - 65000(0.0627) + 32000 + 20x

1310x - 20x = 32377.3 - 4075.5 + 32000

1290x = 60301.8

x = 60301.8/1290

x = 46.75

Therefore, the answer is 46.75 days.