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.) (b) Graph the solution set S for the system of linear inequalities found in part (a). (When graphing, let x and y be in thousands of dollars.) (c) Is it possible for Louisa to invest $190,000 in Solaron Corporation and $60,000 in Windmill Corporation? Prove your assertion.
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.) (b) Graph the solution set S for the system of linear inequalities found in part (a). (When graphing, let x and y be in thousands of dollars.) (c) Is it possible for Louisa to invest $190,000 in Solaron Corporation and $60,000 in Windmill Corporation? Prove your assertion.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.)
(b) Graph the solution set S for the system of linear inequalities found in part (a). (When graphing, let x and y be in thousands of dollars.)
(c) Is it possible for Louisa to invest $190,000 in Solaron Corporation and $60,000 in Windmill Corporation? Prove your assertion.
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