Write the Word or Phrase That Best Completes Each Statement $\$ 75,000$

question 122

Essay

Write the word or phrase that best completes each statement or answers the question.
-The Jillson's have up to $\$ 75,000$ to invest. They decide that they want to have at least $\$ 40,000$ invested in stable bonds yielding $6 \%$ and that no more than $\$ 20,000$ should be invested in more volatile bonds yielding $12 \%$ .
(a) Using $x$ to denote the amount of money invested in the stable bonds and $y$ the amount invested in the more volatile bonds, write a system of linear inequalities that describe the possible amounts of each investment.
(b) Graph the system of inequalities.

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Definitions:

Berries

Small, pulpy fruits that are typically sweet or sour in taste and do not have a stone or pit, although there are exceptions.

Utility Function

A mathematical representation in economics that calculates an individual's preferred ranking of various bundles of goods, showing satisfaction levels from consumption.

Budget Constraint

A limit on the consumption bundles that a consumer can afford based on their income and the prices of goods.

Income

The money received, typically on a regular basis, for work or through investments, crucial for determining spending, saving, and investment behaviors.