INDE 6620 Optimization and Applications M3-Assignment Complete the following problems and upload the pdf file of your solutions to Canvas (one single file). You can write your solutions on a paper and scan them or use Microsoft word. You are allowed to use any reference you wish but remember you must report your own work on your own words. You should show all your work to get full credit. Solution of each problem should be written out completely and logically. If a particular question requires you to use Microsoft Excel Solver you must have a screenshot of your spreadsheet in your pdf and also upload your excel file to the blackboard. 1) Solve the following linear program using the simplex method. You must: (i) show the standard form of the linear program; (ii) show the tableau and identify the current basic variables, nonbasic variables, and basic feasible solution for each iteration of the simplex method. min z = -X1 X2 2x3 s.t. X1 + 2x2 20 -2x1 + 4x2 + 2x3 = 60 2x1 + 3x2 + X 3 0 ? 2) Solve question 1 in excel