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Use MATLAB Please Exercise 7.2. Consider the linear program minimizez1,x2,x3,x4minx2x32x4subjecttox2+2x31x1+x2+x3+x41x1x25x3+3x41x10x20x30x40. (a) Convert this problem into standard-form min cTx subject to Ax=b,x0. (b) Compute one iteration

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Use MATLAB Please

Exercise 7.2." Consider the linear program minimizez1,x2,x3,x4minx2x32x4subjecttox2+2x31x1+x2+x3+x41x1x25x3+3x41x10x20x30x40. (a) Convert this problem into standard-form min cTx subject to Ax=b,x0. (b) Compute one iteration of the standard-form simplex method for this problem, starting at the basic solution xs=(21,21,2)T defined by columns 3,4 and 7 of A. Show your work. Be sure to write down the objective function, basic set, nonbasic set, -vector and reduced costs at both the beginning and end of the iteration. Cherk that the new iterate is feasible, with improved objective value

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