Chapter 3.1, Problem 43E

Investments 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 $200\%$ of that invested in Windmill Corporation.

a. Write a system of linear inequalities that gives the restrictions placed upon Louisa’s investments.

b Graph the solution set $S$ for the system of linear inequalities found in part (a).

c Is it possible for Louisa to invest $\$150,0000$ in Solaron Corporation and $\$100,000$ in Windmill Corporation? Prove your assertion.