Solve the minimization problem by using the simplex method to solve the dual problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 800 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 100 economy class passengers. Airplane P2 costs $8000 to operate and can accommodate 20 first class, 30 tourist class, and 50 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost? What is the minimum operating cost?

Question

A. Minimum cost is $182,000 when they use 11 of airplane P1 and 9 of airplane P2.
B. Minimum cost is $180,000 when they use 10 of airplane P1 and 10 of airplane P2.
C. Minimum cost is $186,000 when they use 9 of airplane P1 and 12 of airplane P2.
D. Minimum cost is $178,000 when they use 9 of airplane P1 and 11 of airplane P2.

Answer 1

Answer: B