Question: True or False - Let x be a basic feasible solution to a linear program (LP), if all its adjacent basic feasible solutions have objective

True or False

- Let x be a basic feasible solution to a linear program (LP), if all its adjacent basic feasible solutions have objective values strictly smaller than x, then x must be the only optimal solution

- If we record the objective value after each iteration of the simplex algorithm in a sequence, then this sequence is nondecreasing.

- We must convert an LP into the standard form, otherwise we cannot solve it.

- If we know that two solutions A and B are both feasible to an LP, then this LP has infinitely many feasible solutions.

- If the optimal solution of an LP contains an integer value, then the divisibility assumption is violated

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