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

question 9

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

---

Definitions:

Stereotypes

Oversimplified ideas or generalized beliefs about a group of people that disregard individual differences.

Conduct Disorder

A mental disorder diagnosed in childhood or adolescence characterized by a persistent pattern of disruptive and violent behaviors.

Economically Disadvantaged

Individuals or groups who have less financial stability and access to resources than the broader population, often leading to challenges in meeting basic needs.

Concordance Rate

A measure used in genetics to indicate the likelihood of traits or disorders being shared among individuals, typically twins, to assess genetic influence.