Question: Consider the linear programming problem minimize c1x + c2y subject to x + y ? 4 x + 3y ? 6 x ? 0, y

Consider the linear programming problem minimize c1x + c2y subject to x + y ? 4 x + 3y ? 6 x ? 0, y ? 0 where c1 and c2 are some real numbers not both equal to zero.

(a) Give an example of the coefficient values c1 and c2 for which the problem has a unique optimal solution.

(b) Give an example of the coefficient values c1 and c2 for which the problem has infinitely many optimal solutions.

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