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

question 27

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, 900 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 $\mathrm { P } _ { 2 }$ 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) \(14 \mathrm { P } _ { 1 }\) planes and \(7 \mathrm { P } _ { 2 }\) planes
• C) \(5 \mathrm { P } _ { 1 }\) planes and \(22 \mathrm { P } _ { 2 }\) planes
• D) \(13 \mathrm { P } _ { 1 }\) planes and \(9 \mathrm { P } _ { 2 }\) planes

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Definitions:

Conditions of Risk

Circumstances in which there is uncertainty about the outcomes of actions, potentially resulting in loss or harm.

Uncertainty

A condition of limited knowledge where it is impossible to exactly describe an existing state, future outcomes, or more than one possible outcome.

Unanticipated Ways

Events or outcomes that occur in a manner not previously expected or predicted.

Avoided

The action of deliberately keeping away from or not doing something.