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

question 286

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 $P _ { 1 }$ 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) \(11 \mathrm { P } _ { 1 }\) planes and \(7 \mathrm { P } _ { 2 }\) planes
• B) \(5 \mathrm { P } _ { 1 }\) planes and \(17 \mathrm { P } _ { 2 }\) planes
• C) \(9 \mathrm { P } _ { 1 }\) planes and \(13 \mathrm { P } _ { 2 }\) planes
• D) \(7 \mathrm { P } _ { 1 }\) planes and \(11 \mathrm { P } _ { 2 }\) planes

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Definitions:

Financial Performance

A measure of how well a firm is using its assets to generate earnings.

Power-Influence Approach

A theory in leadership emphasizing the tactical use of power and influence by leaders to direct or change the behavior of followers towards desired outcomes.

Power

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Influence Tactics

Strategies or methods used by individuals to persuade or direct others' behaviors and decision-making in a desired manner.