Graphical solution - Objective function coefficient
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Use a graph to illustrate why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables, but a change in the right-hand sides of a binding constraint does lead to new values.
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This solution provides details on why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables
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Use a graph to illustrate why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables, but a change in the right-hand sides of a binding constraint does lead to new values.
This condition can be explained by following example:
Objective function: Maximize Z= $400C + $100T
Subject to constraints:
8C+10T<= 80
2C +6T<=36
C<=6
C,T >= 0
CHANGE IN OBJECTIVE FUNCTION CO_EFFICIENT:
Following graph shows the graphical solution to above problem. The shaded region represents feasibility area for the problem. Optimal solution: C=6, T=3.2, Z=$2720
The shaded are shows the feasibility region and the pink line shows ...
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