## Louisa has earmarked at most $250,000 for investing in two companies involved in the production of renewable energy: Solaron Corporation and

Louisa has earmarked at most $250,000 for investing in two companies involved in the production of renewable energy: Solaron Corporation and Windmill Corporation.

She specifies that at least $50,000 must be invested in each company and that the amount invested in Solaron Corporation must not exceed 120% of that invested in Windmill Corporation.

(a) Write a system of linear inequalities that gives the restrictions placed upon Louisa’s investments. (Let x represent the amount in thousands of dollars that Louisa invests in Solaron Corporation, and let y represent the amount in thousands of dollars she invests in Windmill Corporation.)

## Answers ( )

Answer: the inequalities are

x + y ≤ 250000

x ≥ 50000

y ≥ 50000

x ≤ 1.2y

Step-by-step explanation:

Let x represent the amount in thousands of dollars that Louisa invests in Solaron Corporation.

let y represent the amount in thousands of dollars she invests in Windmill Corporation.

Louisa has earmarked at most $250,000 for investing in two companies involved in the production of renewable energy. The inequality is

x + y ≤ 250000

She specifies that at least $50,000 must be invested in each company. It means that

x ≥ 50000

y ≥ 50000

The amount invested in Solaron Corporation must not exceed 120% of that invested in Windmill Corporation. It means that

x ≤ 1.2y