Consider Step 3 of Iteration 1 within Example 1.
where s1and s2are the slacks of the two constraints and s3 and s4 the slacks of the upper bound constraints. Check that this dictionary corresponds to the solution stated in Example 1. Check that the optimal value w = −6100 is also obtained through the dual variables
Obtain the two optimal dictionaries if x1 = (35,25)Tinstead of (40,20)T. Show that the cut is unchanged. (d) Consider again x1 = (40,20)T . From the two dictionaries given in (a) and
(c), construct the range of values of x where the same cut is obtained.
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