Question: (a, 15 points) Solve the following LP using the simplex method. Give an optimal solution and the optimal value. Show your work! max 3X1 +

(a, 15 points) Solve the following LP using the simplex method. Give an optimal solution and the optimal value. Show your work! max 3X1 + 5x2 s.t. 3x1 - 2x2 s 3 X1 +5X2 s 18 X120; X2 20 (b, 10 points) Suppose that one of your classmates is using the rule "least negative coefficient in row-o" to decide the entering variable and the rule "maximum ratio test" to decide the leaving variable (he breaks ties by selecting the variable with the smaller index). Explain which of these rules is definitely wrong and which one is okay to use. Carry out one iteration with these rules using the above LP and illustrate what goes wrong

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