For question 4(a), implement the following linear programming (LP) problem and solve it. For questions 4(b)-4(e), without solving the LP problem again, answer the questions based on the Sensitivity Report obtained from the implementation in question 4(a). MIN: 5X13X2 + 2x3 Subject to: 2X1 + 2x2 + 4X3 4 5X13X2 + 2X3 > 1 X1, X2, X3 0 (a) Implement the LP model in a spreadsheet. Solve the problem using the solver in Excel. Save your solution with the report as "Q4.xlsx" and upload it in the box provided (see illustration below). [2 points] Edit View Insert Format Tools Table 12pt Paragraph To v Upload images BI U Upland documents (PDF XLS, DOC,.) de formare (b) How small can the coefficient of X3 in the objective function be without the necessity to change the optimal solution? [1 point] (c) Determine the optimal objective function value if the RHS value of the first constraint decreases to 2. [1 point] (d) Will the current solution remains optimal if the objective function's coefficient of X is decreased by 0.5 and the coefficient of X3 is increased by 1.5 at the same time? Justify your answer. [2 points]