Question 4 In each case given below, there are two optimization problems A and B with optimal ob- jective function value

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Question 4 In Each Case Given Below There Are Two Optimization Problems A And B With Optimal Ob Jective Function Value 1 (59.44 KiB) Viewed 20 times

Question 4 In each case given below, there are two optimization problems A and B with optimal ob- jective function values z and w respectively. You can assume that both problems are feasible and that 2 and w are finite. In each case select one answer. Provide explanation. 1. (10 pt) A max 21-412-23 s.t. 21 +502 +2:03 = 2 -201 + 4.22 - 23 5 4 21,22,23 > 0 B max s.t. 01 - 422 - 23+ (6 -(-61 +922 +23)) X1 +52 +2.13 = 2 21, 22, 23 20 (a) SW (6) 2 > w (c) = (c) There is not enough information to obtain relationship between 2 and w. 2. (10 pt) max 2x1 + 3.02 s.t. 481 +502 35 21 +782 56 21 +22 S2 21.29 20 B W= min 591 +692 + 2y3 s.t. 481 + y2 + 432 5y1 + 7y2 + y 2 3 91, 92, 9320 (a) SW (6) % 2 w (c) 2 = w (d) There is not enough information to obtain relationship between 2 and w.