Question

Global AirSpan Freightways is considering the purchase of two new airplanes to carry freight. One airplane...

Global AirSpan Freightways is considering the purchase of two new airplanes to carry freight. One airplane is needed to fly freight non-stop between Toyko’s Narita Airport (NRT) and Singapore’s Changi Airport (SIN), a trip of 2,869 nautical miles in each direction. The second airplane is needed to fly freight non-stop between Los Angeles (LAX) and the John F. Kennedy (JFK) airport outside New York City, a trip of 2,139 nautical miles in each direction.

Global AirSpan Freightways is evaluating three different models of Boeing aircraft: the Boeing 747-400 aircraft, which can carry 124 tons of freight up to 4,400 nautical miles and costs $228 million per airplane; the slightly smaller but more fuel efficient Boeing 777 aircraft, which can carry 104 tons of freight up to 4,895 nautical miles and costs $253 million per airplane; and a third option of the Boeing 767-300, which can carry 60 tons of freight up to 3,200 nautical miles and costs $168 million per airplane. Global AirSpan Freightways intends to finance the purchase of any aircraft by borrowing capital at approximately 6% annual fixed interest rate. This payment information, as well as other relevant cost information, is summarized in the table below:

Aircraft Model

Monthly Fixed Debt Payment on Airplane ($ US)

Other Monthly Fixed Expenses of Airplane ($ US)

Total Monthly Fixed Expenses of Airplane ($ US)

Operating Cost per Ton/Mile of Airplane ($ US)*

Boeing 747-400

1,367,000

50,000

      1,417,000

1.50

Boeing 777

1,517,000

50,000

1,567,000

1.28

Boeing 767-300

1,007,000

40,000

1,047,000

1.70

*The operating cost per ton/mile is how much it costs to carry one ton of freight for one nautical mile.

Global AirSpan Freightways can earn $4 revenue per ton/mile on all US domestic routes, including the LAX-JFK route that requires a new airplane. (Thus, Global AirSpan Freightways collects 4*2139 = $8,566 for each ton flown between LAX and JFK.) Competitive pressures, however, keep Global AirSpan Freightways prices lower on all international routes, including the NRT-SIN route discussed here, where it earns only $2 in revenue for every ton/mile. If Global AirSpan Freightways purchased a Boeing 747-400, how many ton/miles of freight would that aircraft need to carry each month to breakeven, if it were assigned to any US domestic route?

a.

566,800.0 ton/miles

b.

2,834,000.0 ton/miles

c.

576,102.9 ton/miles

d.

354,250.0 ton/miles    

e.

455,217.4 ton/miles

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