, what is sensitivity analysis? How will a change in a coefficient of the objective function affect the optimal solution? How will a change in the right-hand side value for a constraint affect the optimal solution?

Sensitivity analysis is a technique which helps identifying the sentivity of the dependent variables due to any changes in the independent variables under a given set of constraints or assumptions.
Change in a coefficient of an objective function might increase or decrease the value of the optimal solution as the coffecient is a part of the objective function equation.
Change in the right hand side value results in lowering or increasing the constrained value. If the decrease or increase in the value is more than the allowable decrease and increase respectively, the variables are impacted and so is the optimal solution. If the value change is within the allowable change, there might not be any impact.
 
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