Formulate a linear programming problem that can be used to solve the following question. An airline has three types of a

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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 76 first-class, 54 tourist, and 120 economy-class
passengers. The first plane costs $4100 for the trip and can
accommodate 44 first-class, 10 tourist, and 26 economy-class
passengers; the second plane costs $4600 for the trip and can
accommodate 14 first-class, 16 tourist, and 42 economy-class
passengers; the third plane costs $5900 for the trip and can
accommodate 28 first-class, 24 tourist, and 14 economy-class
passengers. How many of each type of airplane should be used to
minimize the operating cost?