1. Try the following example by following the next steps for getting Matlab's linprog() package to work. objective: min 3*x1 - 2*x2 + x3 constraints: x1 + x2 + x3 = 1 -3*x1 + 3*x2 - x3 = 2 conditions: x1, x2, x3 >= 0 step 0: transform the general problem to standard form. step 1: type "help linprog" in Matlab to study the syntax of Matlab's linprog script file. step 2: make a .m file as the input, for the above example, we make sample.m script file as follows: c = [3 -2 1]; A = [1 1 1 ; -3 3 -1]; b = [1 2]; VLB = [0; 0; 0]; VUB = [inf; inf; inf]; %initialization X0 = [0; 0; 0]; X = lp(c, A, b, VLB, VUB, X0, 2) NOTE: You should fully make use of help in Matlab. step3: go to Matlab, run .m file >> sample 2. Follow the instructions of XPRESS's UGIGE11.PDF to learn how to start to work with XPRESS. Observe the comands: "mp-model" and "mp-opt" Make use of the help facility. 3. Solve also the above example in XPRESS. 4. Two more examples. Murty's book: Chapter 7, p274 7.14, 7.18 Solve these problems both with MATLAB and XPRESS.