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:

Exhibitionists

Individuals who exhibit a compulsion to display parts of their body, especially the genitals, to an unsuspecting audience, often as an act for sexual gratification.

Shock Reaction

A severe physical or emotional response to a traumatic or surprising event, characterized by rapid heartbeat, faintness, and sometimes unconsciousness.

Sexually Abused

A term describing the experience of being subjected to unwanted sexual activities or contact, often involving coercion or manipulation, and can significantly impact mental and emotional well-being.

Pedophiles

Individuals who are sexually attracted to prepubescent children, a condition considered a psychiatric disorder when it leads to distress or impairs social functioning.