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Independent Reliable Transport (IRT) is an airline with 730 planes, of which 70% are regional jets and the remaining are large jets. All planes require routine preventative maintenance. When maintenance is scheduled, the plane is taken out of service and sent to IRT’s dedicated maintenance facility for some fixed numbers days -- the number of days taken for each type of plane's preventative maintenance is the same. Each regional jet requires 2 routine preventative maintenance per year, and each large jet requires 3 routine preventative maintenance per year. (Assume 365 days per year).

Suppose an in-service large jet generates average revenue of USD 80,000 per day, and an in-service regional jet generates average revenue of USD 60,000 per day. What is the increase in IRT’s average daily revenue, if the time for preventive maintenance for all planes is reduced by 1 day.
a. USD 340,000
b. USD 266,000
c. USD 312,000
d. USD 220,000

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Final answer:

The increase in IRT's average daily revenue, if the time for preventive maintenance for all planes is reduced by 1 day, is USD 312,000. This figure was calculated by determining the annual revenue increase for regional and large jets due to the reduction in maintenance days and converting this to an average daily increase.

Step-by-step explanation:

We are tasked with calculating the increase in IRT’s average daily revenue if the time for preventive maintenance for all its planes is reduced by 1 day. First, we must determine the number of regional jets and large jets the airline operates. With a total of 730 planes, 70% are regional jets, which calculates to 511 regional jets (0.70 x 730) and 30% are large jets, which calculates to 219 large jets (0.30 x 730).

Regional jets require 2 routine preventive maintenances per year, and large jets require 3 routine preventive maintenances per year. If each maintenance session is reduced by 1 day, we need to find out the total number of days saved per year for each type of jet and then calculate the corresponding revenue increase per day.

The annual days saved for regional jets: 511 jets x 2 maintenances/year x 1 day = 1022 days/year
Annual revenue increase due to saved days for regional jets: 1022 days/year x USD 60,000/day = USD 61,320,000/year

The annual days saved for large jets: 219 jets x 3 maintenances/year x 1 day = 657 days/year
Annual revenue increase due to saved days for large jets: 657 days/year x USD 80,000/day = USD 52,560,000/year

Total annual revenue increase: USD 61,320,000/year + USD 52,560,000/year = USD 113,880,000/year

To find the average daily revenue increase, we divide the total annual revenue increase by the number of days in a year: USD 113,880,000/year ÷ 365 days/year = USD 312,000/day

Therefore, the increase in IRT’s average daily revenue, if the time for preventive maintenance for all planes is reduced by 1 day, is USD 312,000.

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