Use Mathematical Models Involving Linear Inequalities
-A Person with No $x + y \leq 1000$

question 182

Multiple Choice

Use Mathematical Models Involving Linear Inequalities
-A person with no more than $1000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let x = amount to be invested in telecommunications and y = amount to be invested in pharmaceuticals.

• A) \(x + y \leq 1000\)
• \(x \leq 3 y\)
• \(x \geq 0\)
• \(y \geq 0\)
• B) \(x + y = 1000\)
• \(x \leq 3 y\)
• \(x \geq 0\)
• \(\mathrm { y } \geq 0\)
• C) \(x + y = 1000\)
• \(y \geq 3 x\)
• \(x \geq 0\)
• \(y \geq 0\)
• D) \(x + y \leq 1000\)
• \(3 x \leq y\)
• \(x \geq 0\)
• \(y \geq 0\)

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Definitions:

Supplies Cost

The expense associated with purchasing supplies necessary for a company's operations or manufacturing processes.

Planning Budget

A budget designed at the beginning of the budgeting period that is based on a specific level of activity.

Frame

The structural support or skeleton that defines the shape or provides the foundation for a structure or object, such as a building or a piece of machinery.

Variable Overhead Costs

Indirect costs of production that fluctuate with the level of output, such as utilities and indirect labor.