Question

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 84 first-class, 54 tourist, and 118 economy-class passengers. The first plane costs $3500 for the trip and can accommodate 44 first-class, 18 tourist, and 30 economy-class passengers; the second plane costs $5000 for the trip and can accommodate 10 first-class, 12 tourist, and 44 economy-class passengers; the third plane costs $5800 for the trip and can accommodate 18 first-class, 34 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? x = y = z = F = (objective function) Subject to (first-class passengers) (tourist passengers) (economy-class passengers) x >= 0, y >= 0, z >= 0 (nonnegativity constraint)

          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 84 first-class, 54 tourist, and 118 economy-class passengers. The first plane costs $3500 for the trip and can accommodate 44 first-class, 18 tourist, and 30 economy-class passengers; the second plane costs $5000 for the trip and can accommodate 10 first-class, 12 tourist, and 44 economy-class passengers; the third plane costs $5800 for the trip and can accommodate 18 first-class, 34 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost?
x =
y =
z =
F =
(objective function)
Subject to
(first-class passengers)
(tourist passengers)
(economy-class passengers)
x >= 0, y >= 0, z >= 0 (nonnegativity constraint)

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 84 first-class, 54 tourist, and 118 economy-class passengers. The first plane costs 3500 for the trip and can accommodate 44 first-class, 18 tourist, and 30 economy-class passengers; the second plane costs5000 for the trip and can accommodate 10 first-class, 12 tourist, and 44 economy-class passengers; the third plane costs 5800 for the trip and can accommodate 18 first-class, 34 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost?
x =
y =
z =
F =
(objective function)
Subject to
(first-class passengers)
(tourist passengers)
(economy-class passengers)
x >= 0, y >= 0, z >= 0 (nonnegativity constraint)

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