Question $1$

A solution that satisfies one constraint in a problem is called an optimal solution.

True

False

The expression $($x$+$y$)/($y is a valid linear programming

constraint.

True

False

When solving an integer programming problem, rounding the

solution of its LP relaxation to the closest integer always

yields the optimal solution to the original problem.

True

False

x and y are decision variables. The expression min$4$x$+5$y is

a valid linear programming objective

True

False In LP$,$ if the change of the coefficient of a decision variable is within the allowable range for that decision variable, then the optimal objective function value will not change.

True

False In LP$,$ if the change of the coefficient of a decision variable is within the allowable range for that decision variable, then the optimal objective function value will not change.

True

False