Question: Q3) Given the following linear programming model: Max Z = 8x1 + 7x2 + 6x3 + 9x4 subject to: 6x1 + 2x2 + 5x3 +

Q3) Given the following linear programming model:

Q3) Given the following linear programming model: Max Z = 8x1 + 7x2 + 6x3 + 9x4 subject to: 6x1 + 2x2 + 5x3 + 734 0 a) Transform the model into standard form. b) Solve by using the computer. c) Based on Excel sensitivity report, c1) What would be the effect on the optimal solution if we could obtain 4 more units of constraint 1 resource? Please justify your answer. c2) Determine the sensitivity range for x1 objective function coefficient. c3) Will optimal solution change if X3 objective function coefficient changes to 12? Please justify > your answer. In your report, please: Write the standard form clearly and completely. Report the optimal values of decision variables and objective function value. Answer to part c questions and mark each question clearly. Fxcel file

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