Exercise 5.4 Consider the problem in Example 5.1, with a;; changed from 3 to 3+ 6. Let us keep 71 and z2 as the basic variables and let B(6) be the corresponding basis matrix, as a function of 6. (a) Compute B(6)~'b. For which values of is B() a feasible basis? (b) Compute czB(6)~!. For which values of is B() an optimal basis? (c) Determine the optimal cost, as a function of , when is restricted to those values for which B(6) is an optimal basis matrix. 5.7 Exercises Exercise 5.1 Consider the same problem as in Example 5.1, for which we al- ready have an optimal basis. Let us introduce the additional constraint 1 +x2 = 3. Form the auxiliary problem described in the text, and solve it using the pri- mal simplex method. Whenever the \"large\" constant M is compared to another number, M should be treated as being the larger one