Solve the Linear Programming Problem $9 \mathrm { P } _ { 1 }$

Multiple Choice

Solve the linear programming 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, 900 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 110 economy class passengers. Airplane P2 costs $8500 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?

A) $9 \mathrm { P } _ { 1 }$ planes and $13 \mathrm { P } _ { 2 }$ planes
B) $5 \mathrm { P } _ { 1 }$ planes and $22 \mathrm { P } _ { 2 }$ planes
C) $13 \mathrm { P } _ { 1 }$ planes and $9 \mathrm { P } _ { 2 }$ planes
D) $14 \mathrm { P } _ { 1 }$ planes and $7 \mathrm { P } _ { 2 }$ planes