An airline company has two types of airplane, KT1 and KT2. The company has a contract...

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An airline company has two types of airplane, KT1 and KT2. The company has a contract with a travel agency to provide seats for at least 2,000 first-class, 1,500 business-class and 2,400 economy class passengers. The operating costs for KT1 is RM15,000 per km and can accommodate 40 first-class, 40 business class and 120 economy-class passengers. Whereas the operating costs for KT2 is RM12,000 per km and can accommodate 80 first-class, 30 business- class and 40 economy-class passengers. Assuming x and y represent the number of airplanes KT1 and KT2 to be utilized respectively. a. Determine the objective function that minimises the operating cost and formulate the given information in the form of linear programming model. b. Shade the feasible region satisfying the system of inequalities in part(a). c. By evaluating the objective function at each vertex of the feasible region, determine the number of each type of airplane that should be utilized to minimize the operational cost. An airline company has two types of airplane, KT1 and KT2. The company has a contract with a travel agency to provide seats for at least 2,000 first-class, 1,500 business-class and 2,400 economy class passengers. The operating costs for KT1 is RM15,000 per km and can accommodate 40 first-class, 40 business class and 120 economy-class passengers. Whereas the operating costs for KT2 is RM12,000 per km and can accommodate 80 first-class, 30 business- class and 40 economy-class passengers. Assuming x and y represent the number of airplanes KT1 and KT2 to be utilized respectively. a. Determine the objective function that minimises the operating cost and formulate the given information in the form of linear programming model. b. Shade the feasible region satisfying the system of inequalities in part(a). c. By evaluating the objective function at each vertex of the feasible region, determine the number of each type of airplane that should be utilized to minimize the operational cost.

Answer rating: 100% (QA)

i Decision variables Let x be the number of businessclass passengers on each airplane Let y be the n... View the full answer