Linear Programming: Changes in the resource column
Problem 2 (a) and (b)
360 7 SENSITIVITY ANALYSIS in (4) with b q, where 39.56 240 100 not q q1 q2 q3 83.33 1456 120 1000 0.3 roblem the Exercises variable Exercises 1-14 concern the problem solved in Examples 1 and 2 1. Give the ranges over which the resource values b1, b2, b3 can vary when Ab1, Ab2, Ab, The per change vary over the ranges given in (13) proble 2. (a) Show that the change Ab 1000, Ab 1000, Ab 1000 causes the solution to sho given by tableau (5) to become infeasible. (b) Find the new optimal solution to the perturbed problem using the dual simplex method 3. Find the solution to the problem of Example 1 when b 2000 is changed to b 3500 Do not solve the problem again from the beginning but start with final tableau (5) 4. Follow the instructions of Exercise 3, except change b2 to 140. 5. obtain the restrictions on Ab1,4b2, and Aby given in (13) from the system of inequali- ties (17) over which tercse In Exercises 6, 7, and 8, use the system of inequalities (17) to find the ranges set of basic sopha resource values of the LP problem in Example i can vary without a change in the variables. Ab1 and Ab2 can vary 6. Suppose Ab, 80. Find the ranges over which range for Abu A 200 and Ab 100. Find the
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