In this quick question, we’ll perform some sensitivity analysis on the connecting flights problem.
Previously, we said that American Airlines could market their fares to increase demand. It costs $200 in advertising to increase demand by one unit.
Is it worth it to market the discount fares from JFK to DFW?
Explanation You can answer this question without re-solving the model by noticing that we are not meeting the demand for discount fares from JFK to DFW at all. The demand could increase by 100, and we still would not offer more than 11 discount fares. Alternatively, you could change the demand for discount fares, and re-solve the model. The solution does not change, regardless of how much you increase the demand.
Is it worth it to market the regular fares from JFK to LAX?
Explanation In the current solution, we are meeting the demand for regular tickets from JFK to LAX. If we increase the demand by 10, we offer 10 more regular tickets, but our revenue only increases by $140, which does not exceed the cost of $2000. If we increase the demand by 50, to 130, we only offer 91 seats. Therefore, American Airlines should not market the regular fares from JFK to LAX because even though the revenue increases, it does not exceed the costs.