42. Given below is the simplex tableau for a maximisation type of linear programming problem:43QuantityBasisX3X3S1S2S3X21/311/3-1/320/3X35/61-1/62/350/3S3-5/3-2/3-1/3180/3Here x1, x2 and x3 represent the number of units to produce of the three products A, B and C, respec-tively, while S, S2 and S3 represent the respective slack in three resources used.Answer with reasons the following questions in relation to the solution in this table:(i) Is it feasible?(ii) Is it optimal?(iii) Is it unbounded?(iv) Is it degenerate?(v) Does the problem have multiple optimal solutions? If yes, give an alternate optimal solution.(vi) What are the shadow prices of the three resources?(vii) Which of the products is not being produced and why?(viii) What is the objective function of this problem?(ix) If it is desired to produce six units of product A, what affect it will have on the output of otberproducts and on the three resources?(x) If a valued customer wants to buy product A, by how much should the price of this product heincreased so as not suffer a loss on its account?

Name: 42. Given below is the simplex tableau for a maximisation type of lin
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Description: 42. Given below is the simplex tableau for a maximisation type of linear programming problem:43QuantityBasisX3X3S1S2S3X21/311/3-1/320/3X35/61-1/62/350/3S3-5/3-2/3-1/3180/3Here x1, x2 and x3 represent the number of units to produce of the three produ

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lear programming problem: 4 3 Basis S1 Оuantity X3 X3 S2 S3 X2 1/3 1 1/3 -1/3 20/3 X3 5/6 1 -1/6 2/3 50/3 S3 -5/3 -2/3 -1/3 1 80/3 Here x1, x2 and x3 represent the number of units to.produce of the three products A, B and C, respec- tively, while S1, S2 and S3 represent the respective slack in three resources used. Answer with reasons the following questions in relation to the solution in this table: (i) Is it feasible? (ii) Is it optimal? (iii) Is it unbounded?

lear programming problem: 4 3 Basis S1 Оuantity X3 X3 S2 S3 X2 1/3 1 1/3 -1/3 20/3 X3 5/6 1 -1/6 2/3 50/3 S3 -5/3 -2/3 -1/3 1 80/3 Here x1, x2 and x3 represent the number of units to.produce of the three products A, B and C, respec- tively, while S1, S2 and S3 represent the respective slack in three resources used. Answer with reasons the following questions in relation to the solution in this table: (i) Is it feasible? (ii) Is it optimal? (iii) Is it unbounded?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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