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You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3,

Posted: Fri May 20, 2022 6:43 am
by answerhappygod
You have been asked to select at least 3 out of 7 possible sites
for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6,
and S7. The restrictions are: Restriction 1. Evaluating either S1
or S3 will prevent you from exploring site S7. Restriction 2.
Evaluating sites S2 or S4 will prevent you from assessing site S5.
Restriction 3. Of all the sites, at least 3 should be assessed.
Assuming that Si is a binary variable, the constraint for the first
restriction is :
S1 + S3 + S7 ≤1.
S1 + S3 + S7 = 2.
S1 + S3 + S7 ≤ 2.
S1 + S3 + S7 ≥ 1.