Question $1$

Whenever a slack or an excess variable of an LP constraint is positive at the optimum, the constraint will have a zero shadow price.

True

False

Question $2$

If the primal constraint is of type $(),$ the corresponding dual variable will be nonnegative if the primal objective is maximization.

True

False

Question $3$

If the primal constraint is of type $(),$ the corresponding dual variable will be nonnegative if the primal objective is minimization.

True

False

Question $4$

If there is an unrestricted primal variable, the corresponding dual constraint will be an inequality of type $().$

True

False