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

question 23

Multiple Choice

Solve the 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) \(7 \mathrm { P } _ { 1 }\) planes and \(11 \mathrm { P } _ { 2 }\) planes
• C) \(11 \mathrm { P } _ { 1 }\) planes and \(7 \mathrm { P } _ { 2 }\) planes
• D) \(5 \mathrm { P } _ { 1 }\) planes and \(17 \mathrm { P } _ { 2 }\) planes

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Definitions:

Microsoft Visio 2007

A diagramming and vector graphics application released by Microsoft in 2007.

Project Management

The discipline of planning, organizing, motivating, and controlling resources to achieve specific goals.

Computer-assisted Conference

A meeting or conference facilitated by computer software, allowing participants to interact digitally, possibly incorporating various multimedia.

Audio Conference

A virtual meeting where participants use telecommunication technology to exchange information via audio.