Chapter 8.6, Problem 23E

Use the- two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17-23.

In 1978, a ruling by the Civil Aeronautics Board allowed Federal Express to purchase larger aircraft. Federal Express's options included 20 Boeing 727s that United Airlines was retiring and/or the French-built $$$ Fanjet Falcon 20. To aid in their decision. executives at Federal Express analyzed the following data:

• ? Boeing 727 Falcon 20

Direct Operating Cost SI400 per hour $500 per hour

^Pa>^load -12.000 pounds 6000 pounds

Federal Express was raced with the following constraints:

• Hourly operating cost was limited to $35,000.

• Total payload had to be at least 672,000 pounds.

• Only twenty 727s were available.

Given the constraints, how many of each kind of aircraft should Federal Express have purchased to maximize the number of aircraft?