1. (4 points)Determine the slack of constraint1.Is constraint 1 a binding constraint? Why or why not?
3. (3 points) Notice that the current value of X2 in the optimal solution is 0. If the coefficient of X2 in the objective function is increased to 45 and the problem is re-solved, will the value of X2 at optimality be impacted? Why or why not?
4. (8 points) If the objective function coefficient of all variablessimultaneouslyincrease by 5 units each, would the current solution still remain optimal? Will the objective function value be impacted at all? Explain your answer.
5. (5 points) All else remaining the same, what action would you recommend so that X2 becomes positive at optimality? Explain your answer.

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