RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 400.000000 400.000000 100.000000 3 400.000000 133.333328 200.000000 THE TABLEAU ROW (BASIS) X1 X2 X3 X4 SLK 2 1 ART 6.000 0.000 24.000 0.000 18.000 2 X2 -0.600 1.000 1.700 0.000 0.400 3 Х4 0.900 0.000 0.200 1.000 -0.100 ROW SLK 3 0.000 7200.000 2 -0.300 40.000 3 0.200 40.000 1.1 What is the optimal objective function value? 1.2 How many units of X1, X2, X3 and X4 should be produced in order to maximise profits? Or give the optimal product mix from the printout. 1.3 What is the status of the variables. Are they basic or non-basic? 1.4 Give the reduced costs of the non-basic variables. 1.5 Assume that 20 units of X3 have been produced by mistake. What is the resulting decrease in profit? 1.6 Which constraints are binding? 1.7 What will happen to the objective function if the right-hand side of constraint one is increased by one unit? 1.8 In what range can the profit margin per unit of X1 vary without changing the optimal basis? 1.9 What is the marginal value of increasing the production capacity of Workshop 1 and Workshop 2? 1.10 In what range can the capacity of Workshop 1 vary without changing the optimal basis?
RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 400.000000 400.000000 100.000000 3 400.000000 133.333328 200.000000 THE TABLEAU ROW (BASIS) X1 X2 X3 X4 SLK 2 1 ART 6.000 0.000 24.000 0.000 18.000 2 X2 -0.600 1.000 1.700 0.000 0.400 3 Х4 0.900 0.000 0.200 1.000 -0.100 ROW SLK 3 0.000 7200.000 2 -0.300 40.000 3 0.200 40.000 1.1 What is the optimal objective function value? 1.2 How many units of X1, X2, X3 and X4 should be produced in order to maximise profits? Or give the optimal product mix from the printout. 1.3 What is the status of the variables. Are they basic or non-basic? 1.4 Give the reduced costs of the non-basic variables. 1.5 Assume that 20 units of X3 have been produced by mistake. What is the resulting decrease in profit? 1.6 Which constraints are binding? 1.7 What will happen to the objective function if the right-hand side of constraint one is increased by one unit? 1.8 In what range can the profit margin per unit of X1 vary without changing the optimal basis? 1.9 What is the marginal value of increasing the production capacity of Workshop 1 and Workshop 2? 1.10 In what range can the capacity of Workshop 1 vary without changing the optimal basis?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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