Apply Linear Programming to This Problem

Multiple Choice

Apply linear programming to this problem.A one-airplane airline wants to determine the best mix of passengers to serve each day.Their airplane seats 25 people and flies 8 one-way segments per day.There are two types of passengers: first class (F) and coach (C) .The cost to serve each first class passenger is $15 per segment and the cost to serve each coach passenger is $10 per segment.The marketing objectives of the airplane owner are to carry at least 13 first class passenger-segments and 67 coach passenger-segments each day.In addition,in order to break even,they must at least carry a minimum of 110 total passenger segments each day.Which of the following is one of the constraints for this linear program?

A) 15 F + 10 C => 110
B) 1 F + 1 C => 80
C) 13 F + 67 C => 110
D) 1 F => 13
E) 13 F + 67 C =< (80/200)