Solve the Problem $x + y \leq 140$ $x > 0.20 y$

question 180

Multiple Choice

Solve the problem.
-A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 140 square feet. He wants the area planted with tomatoes to be more than 20% of the area planted with
Cucumbers. Write a system of inequalities to describe the situation. Let x = amount to be planted in
Tomatoes and y = amount to be planted in cucumbers.

• A) \(x + y \leq 140\)
• \(x > 0.20 y\)
• \(x \geq 0\)
• \(y \geq 0\)
• B) \(x + y = 140\)
• \(x \geq 0.20 y\)
• \(x \geq 0\)
• \(y \geq 0\)
• C) \(x + y \leq 140\)
• \(0.20 x > y\)
• \(x \geq 0\)
• \(y \geq 0\)
• D) \(x + y \leq 140\)
• \(x < 0.20 y\)
• \(x \geq 0\)
• \(y \geq 0\)

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Definitions:

Production Possibilities

The various combinations of goods and services that can be produced within an economy when all resources are fully utilized.

Capital Goods

Long-term assets used by businesses to produce goods and services, such as machinery and buildings.

Consumer Goods

Items produced for direct consumption by the end consumer.

Production Possibilities Curve

An illustrative chart that depicts the optimal mix of two goods or services that can be produced by an economy when it fully and efficiently employs all available resources.