Label each of the following statements about linear programming problems as true or false, and then justify your answer. (a) If a feasible solution is optimal but not a CPF solution, then infinitely many optimal solutions exist.

1. Label each of the following statements about linear programming problems as true or false, and then justify your answer.
(a) If a feasible solution is optimal but not a CPF solution, then infinitely many optimal solutions exist.

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(b) If the value of the objective function is equal at two different feasible points x* and x**, then all points on the line segment connecting x* and x** are feasible and Z has the same value at all those points.
(c) If the problem has n variables (before augmenting), then the simultaneous solution of any set of n constraint boundary equations is a CPF solution.

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