Question: Consider the following statements about linear programming and the simplex method. Label each statement as true or false: 1.Given that an optimal solution to a

Consider the following statements about linear programming and the simplex method. Label each statement as true or false:

1.Given that an optimal solution to a linear programming problem exists, it must occur at a vertex of the feasible set. ( )

2. If the optimal solution occurs at two adjacent vertices of the feasible set, then the linear programming problem has infinitely many solutions. Any point on the line segment joining the two vertices is also a solution. ( )

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