What Combination of X and Y Will Yield the Optimum

question 88

Multiple Choice

What combination of x and y will yield the optimum for this problem? Minimize $3x + $15y, subject to (1) 2x + 4y < 12 and (2) 5x + 2y < 10 and (3) x, y ≥ 0.

• A) x = 2, y = 0
• B) x = 0, y = 3
• C) x = 0, y = 0
• D) x = 1, y = 5
• E) x = 0, y = 4

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Definitions:

Service Sector

The segment of the economy that provides intangible goods such as healthcare, entertainment, and professional services, as opposed to manufacturing or agriculture.

Higher Productivity

An increase in the efficiency of production, characterized by a greater output of goods and services for the same amount of input.

Economy

The system of production, distribution, and consumption of goods and services in a particular geographic region or country.

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A group of economists that determines the dates of the beginning and end of recessions, marking the business cycle's phases.