Algebra 2 (Linear Programming)

To minimize the operating cost, Airplane P-1 and Airplane Q-2 should each be used in an optimal combination. For Airplane P-1, it would take 150 planes to accommodate the 2000 first-class passengers, 125 planes to accommodate the 1500 tourist passengers and 200 planes to accommodate the 2400 economy-class passengers. This would cost $180,000 ($12,000 x 15,000 miles) to operate. For Airplane Q-2 it would take 25 planes to accommodate the 2000 first-class passengers, 50 planes to accommodate the 1500 tourist passengers and 60 planes to accommodate the 2400 economy-class passengers. This would cost $150,000 ($10,000 x 15,000 miles) to operate. The optimal combination would be to use 125 Airplane P-1's and 50 Airplane Q-2's, costing a total of $330,000 to operate. This would accommodate 2000 first-class, 1500 tourist and 2400 economy-class passengers.