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[GET ANSWER] Simple Linear Programs. Give an explicit solution for each of the following linear programs.(a) Minimizing a linear function over an affine set.minimize c^T xsubject to Ax = b.(b) Minimizing a linear function over a rectangle.minimize c^T xsubject to l ≤ x ≤ u,where l and u satisfy l ≤ u.(c) Minimizing a linear function over a unit box with a total budget constraint.minimize c^T xsubject to 1^T x = α0 ≤ x ≤ 1,where α is an integer between 0 and n. What happens if α is not an integer
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