Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with a tour group to provide transportation for a...


Formulate a linear programming problem that can be used to solve the following question.


An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 86 first-class, 50 tourist, and 116 economy-class passengers. The first plane costs $4400 for the trip and can accommodate 44 first-class, 16 tourist, and 22 economy-class passengers; the second plane costs $5400 for the trip and can accommodate 8 first-class, 16 tourist, and 42 economy-class passengers; the third plane costs $5800 for the trip and can accommodate 20 first-class, 28 tourist, and 12 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost?


x
=  number of first class passengers number of first type of airplane

y
=  number of tourist class passengers number of second type of airplane

z
=  number of third type of airplane number of economy class passengers






























 ---Select--- Minimize Maximize
F =




(objective function)
Subject to




(first-class passengers)





(tourist passengers)





(economy-class passengers)


x___ ≤, = ,≥ ,> ,or


0,
y_____
≤, = ,≥ ,> ,or


0,
z
____≤, = ,≥ ,> ,or


(nonnegativity constraint)




Jun 05, 2022
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