The Forest Service can build a firewatch tower on any of 8 mountains. Using decision variables xj

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The Forest Service can build a firewatch tower on any of 8 mountains. Using decision variables xj = 1 if a tower is built on mountain j and = 0 otherwise, write constraint(s) enforcing each of the following requirements.

(a) In all 3 sites will be selected.

(b) At least 2 of mountains 1, 2, 4, and 5 must be selected.

(c) A tower should not be built on both mountains 3 and 8.

(d) A tower can be built on mountain 1 only if one is built on mountain 4.

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