Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 410 first class, 700 tourist class, and 1530 economy class passengers. For a certain trip, airplane P1 costs $12,500 to operate and can accommodate 23 first class, 51 tourist class, and 88 economy class passengers. Airplane P2 costs $9500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost? Set this up as a linear programming problem in the following form:Minimize cTx subject to Ax ? b and x ? 0. Do not find the solution.

A. Let x1 be the number of airplanes of type P1 and x2 the number of airplanes of type P2
Then b = , x = , c = , and A = 
B. Let x1 be the number of airplanes of type P1 and x2 the number of airplanes of type P2
Then b = , x = , c = , and A = 
C. Let x1 be the number of airplanes of type P1 and x2 the number of airplanes of type P2
Then b = , x = , c = , and A = 
D. Let x1 be the number of airplanes of type P1 and x2 the number of airplanes of type P2
Then b = , x = , c = , and A = 


Answer: C

Mathematics

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