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

question 84

Multiple Choice

Solve the linear programming problem.
-An airline with two types of airplanes, $\mathrm { P } _ { 1 }$ and $\mathrm { P } _ { 2 }$ , has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane $\mathrm { P } _ { 1 }$ costs $\$ 10,000$ to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane $P _ { 2 }$ 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) \(11 \mathrm { P } _ { 1 }\) planes and \(7 \mathrm { P } _ { 2 }\) planes
• C) \(7 \mathrm { P } _ { 1 }\) planes and \(11 \mathrm { P } _ { 2 }\) planes
• D) \(5 \mathrm { P } _ { 1 }\) planes and \(17 \mathrm { P } _ { 2 }\) planes

Recognize the importance of adaptability and flexibility in personal and professional growth.

Understand the significance of setting realistic and specific goals for personal improvement.

Acknowledge the impact of habits on personal performance and the process of habit formation.

Recognize the importance of overcoming resistance to change for personal development.

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Definitions:

Moral Philosophies

The study of principles and theories that guide individuals in determining what behaviors are right or wrong, ethical or unethical.

Individuals' Intentions

The plans or aims that a person has in their mind to achieve or carry out a specific action or outcome.

Decision Making Process

A series of steps followed to make a choice among alternatives to solve problems or achieve objectives.

Opportunity

A set of circumstances that makes it possible to do something or achieve a particular outcome.