Philippine Airlines (PAL) is considering air service from its hub of operations in Cicely, Alaska, to Rome, Wisconsin, and Seattle, Washington. PAL has one gate at the Cicely Airport, which operates 12 hours per day. Each flight requires 1 hour of gate time. Each flight to Rome consumes 15 hours of pilot crew time and is expected to produce a profit of $2,500. Serving Seattle uses 10 hours of pilot crew time per flight and will result in a profit of $2,000 per flight. Pilot crew labor is limited to 150 hours per day. The market for service to Rome is limited to nine flights per day. a. Use the graphic method of linear programming to maximize profits for Philippine Airlines. b. Identify positive slack and surplus variables, if any.
Philippine Airlines (PAL) is considering air service from its hub of operations in Cicely, Alaska, to Rome, Wisconsin, and Seattle, Washington. PAL has one gate at the Cicely Airport, which operates 12 hours per day. Each flight requires 1 hour of gate time. Each flight to Rome consumes 15 hours of pilot crew time and is expected to produce a profit of $2,500. Serving Seattle uses 10 hours of pilot crew time per flight and will result in a profit of $2,000 per flight. Pilot crew labor is limited to 150 hours per day. The market for service to Rome is limited to nine flights per day. a. Use the graphic method of linear programming to maximize profits for Philippine Airlines. b. Identify positive slack and surplus variables, if any.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Transcribed Image Text:Philippine Airlines (PAL) is considering air service from its hub of
operations in Cicely, Alaska, to Rome, Wisconsin, and Seattle,
Washington. PAL has one gate at the Cicely Airport, which operates 12
hours per day. Each flight requires 1 hour of gate time. Each flight to
Rome consumes 15 hours of pilot crew time and is expected to produce
a profit of $2,500. Serving Seattle uses 10 hours of pilot crew time per
flight and will result in a profit of $2,000 per flight. Pilot crew labor is
limited to 150 hours per day. The market for service to Rome is limited
to nine flights per day.
a. Use the graphic method of linear programming to maximize profits for
Philippine Airlines.
b. Identify positive slack and surplus variables, if any.
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