Suppose that you are interested in choosing a set of investments {1,...,7} using 0 - 1 variables. Model the following constraints using only linear equations (obs: operators such as or or if can not be used): (a) You cannot invest in all of them. (b) You must choose at least one of them. (c) Investment 1 cannot be chosen if investment 3 is chosen. (d) Investment 4 can be chosen only if investment 2 is also chosen. (e) (bonus) You must choose either both investments 1 and 5 or neither. (f) (bonus) You must choose either at least one of the investments 1,2,3, or at least two investments from 2.4.5.6.

Suppose that you are interested in choosing a set of investments {1,...,7} using 0 - 1 variables. Model the following constraints using only linear equations (obs: operators such as or or if can not be used): (a) You cannot invest in all of them. (b) You must choose at least one of them. (c) Investment 1 cannot be chosen if investment 3 is chosen. (d) Investment 4 can be chosen only if investment 2 is also chosen. (e) (bonus) You must choose either both investments 1 and 5 or neither. (f) (bonus) You must choose either at least one of the investments 1,2,3, or at least two investments from 2.4.5.6.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Suppose that you are interested in choosing a set of investments {1,...,7}
using 0 - 1 variables. Model the following constraints using only linear
equations (obs: operators such as or or if can not be used):
(a) You cannot invest in all of them.
(b) You must choose at least one of them.
(c) Investment 1 cannot be chosen if investment 3 is chosen.
(d) Investment 4 can be chosen only if investment 2 is also chosen.
(e) (bonus) You must choose either both investments 1 and 5 or neither.
(f) (bonus) You must choose either at least one of the investments 1,2,3,
or at least two investments from 2.4.5.6.

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Step 3: Investment 1 cannot be chosen if investment 3 is chosen

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