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?
A) Minimum cost is 186,000 when they use 9 of airplane P1 and 12 of airplane P2.
B) Minimum cost is 182,000 when they use 11 of airplane P1 and 9 of airplane P2.
C) Minimum cost is 180,000 when they use 10 of airplane P1 and 10 of airplane P2.
D) Minimum cost is 178,000 when they use 9 of airplane P1 and 11 of airplane P2.
Question 2
In an initial simplex tableau, if the augmented column above the horizontal line contains a negative number, then the objective function is unbounded and no optimal solution exists.
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