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.)