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

question 185

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

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Definitions:

Capital

Financial resources or assets owned by an individual or business, used to fund operations, invest in business ventures, or acquire assets.

Liabilities

Monetary commitments or liabilities that a business is responsible for repaying to others in the future.

Revenue

The total income generated from normal business operations, including sales of goods and services before any expenses are deducted.

Expanded Accounting Equation

An extension of the basic accounting equation that includes components such as owner's equity, retained earnings, and dividends.