Problem 2: Implement the following LP model in a spreadsheet. min 5X1 + 3X2 + 4X3 X1 + X2 + 2X3 > 2 5X1 + 3X2 + 2X3 > 1 X1, X2, X3 > 0 (a) Use the solver to solve the model, and attach the sensitivity report. (5 points) (b) Answer the following questions. In each case, explain how you got the answer. What is the smallest value the objective function coefficient for X3 can assume without changing the optimal solution? (3 points) What is the optimal objective function value if the objective function coefficient for X3 changes to 0? (3 points) What is the optimal objective function value if the RHS value of the first constraint increases to 7? (answer using shadow price) (3 points) What is the optimal objective function value if the RHS value of the first constraint decreases by 1? (answer using shadow price) (3 points) Why is the shadow price of the second constraint zero? (3 points)