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

question 84

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

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Niche Marketing

A targeting strategy focusing on a specific segment of the market that is not currently being served or is underserved.

Lifestyle Marketing

A strategy that markets products or services to align with the interests, values, and habits of a specific group of people, focusing on integrating the product into the consumer's lifestyle.

Geographic Targeting

A marketing strategy that focuses on appealing to consumers in a specific geographical area.

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A marketing strategy where a company targets several market segments with specific offers, recognizing the unique demands of each segment.