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O’Connel Airlines is considering air service from its hub of operations in Cicely, to Rome and Seattle. O’Connel 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 $2500. Serving Seattle uses 10 hours of pilot crew time per flight and will result in a profit of $2000 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. O’Connel wants to obtain the highest possible profit.
(a) Formulate the problem as a constraint optimization problem.
(b) Draw a graph to illustrate the constraints.
(c) What is the best strategy for O’Connel?
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