Betty plans to invest a total of $15,000 in mutual funds, certificates of deposit (CDs), and a high-yield savings account. Because of the risk involved in mutual funds, she wants to invest no more in mutual funds than the sum of her CDs and savings. She also wants the amount in savings to be at least half the amount in CDs. Her expected returns are 11% on the mutual funds, 9% on the CDs and 4% on savings. How much money should Betty invest in each area in order to have the largest return on her investments? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Betty should invest S in mutual funds, (Simplify your answers.) in certificates of deposit, and S in a high-yield savings account. O B. The problem is unbounded. OC. The problem is infeasible.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 45P
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Betty plans to invest a total of $15.000 in mutual funds, certificates of deposit (CDs), and a high-yield savings account. Because of the risk involved in mutual funds, she wants to invest no more in mutual funds
than the sum of her CDs and savings. She also wants the amount in savings to be at least half the amount in CDs. Her expected returns are 11% on the mutual funds, 9% on the CDs and 4% on savings. How
much money should Betty invest in each area in order to have the largest return on her investments?
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. Betty should invest $
in mutual funds, $
in certificates of deposit, and $
in a high-yield savings account.
(Simplify your answers.)
O B. The problem is unbounded.
O C. The problem is infeasible.
Transcribed Image Text:Betty plans to invest a total of $15.000 in mutual funds, certificates of deposit (CDs), and a high-yield savings account. Because of the risk involved in mutual funds, she wants to invest no more in mutual funds than the sum of her CDs and savings. She also wants the amount in savings to be at least half the amount in CDs. Her expected returns are 11% on the mutual funds, 9% on the CDs and 4% on savings. How much money should Betty invest in each area in order to have the largest return on her investments? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Betty should invest $ in mutual funds, $ in certificates of deposit, and $ in a high-yield savings account. (Simplify your answers.) O B. The problem is unbounded. O C. The problem is infeasible.
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