A company has $10,000 to invest , to be divided into fixed interest, equities and property. For surety of return the client requires at least 50% to be placed in fixed interest and for liquidity he specifies that no more than 30% be invested in property. The projected return over the coming year is forecast to be 5% on the fixed interest investments, 7% on equities and 8% on property. How should the £10,000 be split between the three types of investment in order to maximise the return over the coming year? Hint: To formulate the linear programming problem use x as the amount invested in fixed interests, y as the amount invested in equities and then 10,000 - x - y will be the amount invested in property.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 36P
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A company has $10,000 to invest , to be
divided into fixed interest, equities and
property. For surety of return the client
requires at least 50% to be placed in fixed
interest and for liquidity he specifies that no
more than 30% be invested in property. The
projected return over the coming year is
forecast to be 5% on the fixed interest
investments, 7% on equities and 8% on
property. How should the £10,000 be split
between the three types of investment in
order to maximise the return over the coming
year? Hint: To formulate the linear
programming problem use x as the amount
invested in fixed interests, y as the amount
invested in equities and then 10,000 - x - y
will be the amount invested in property.
Transcribed Image Text:A company has $10,000 to invest , to be divided into fixed interest, equities and property. For surety of return the client requires at least 50% to be placed in fixed interest and for liquidity he specifies that no more than 30% be invested in property. The projected return over the coming year is forecast to be 5% on the fixed interest investments, 7% on equities and 8% on property. How should the £10,000 be split between the three types of investment in order to maximise the return over the coming year? Hint: To formulate the linear programming problem use x as the amount invested in fixed interests, y as the amount invested in equities and then 10,000 - x - y will be the amount invested in property.
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