ariables. Model the following constraints using only li s: operators such as or or if can not be used): ot invest in all of them. I choose at least one of them. nt 1 cannot be chosen if investment 3 is chosen. nt 4 can be chosen only if investment 2 is also chosen. You must choose either both investments 1 and 5 or neit You must choose either at least one of the investments two investments from 2,4,5,6.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Answer the last 3 parts d, e, f

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.
Transcribed Image Text: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.
Expert Solution
Step 1: Given data
Given that invested in choosing a set of investment left curly bracket 1 comma 2 comma horizontal ellipsis comma 7 right curly bracket using 0 minus 1 variables.

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