Question: please do not solve in excel 1. (a) The linear programming problem maximise z=5x1+4x2 subject to: x1+5x23x1+2x2x1,x270540 has the following solution (in the final Simplex

please do not solve in excel

1. (a) The linear programming problem maximise z=5x1+4x2 subject to: x1+5x23x1+2x2x1,x270540 has the following solution (in the final Simplex tableau): i. Perform sensitivity analysis on the right-hand side value of the first constraint of the LP problem. Provide all the details and explanation. [4marks] ii. Perform sensitivity analysis on the coefficient of decision variable x2 in the objective function. [4 marks] iii. Write the Dual problem for the LP problem: [3 marks] iv. Provide the solution of the Dual problem in part (ii) by analysing the solution of the LP problem. [3 marks] v. Find a solution to the following linear programming problem, withont resolving it from scratch: [6 murks] maximisez=5x1+4x2+2x3subjectto:x1+5x2+x33x1+2x2+2x3x1,x2,x370540. Provide all necessary details and explanation

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