Use the following scenario and data for questions 1 to 10 drell Ktchen, L.L.C ma

Question

Use the following scenario and data for questions 1 to 10 drell Ktchen, L.L.C makes two types of hehoque grilk The awailshilny of throe acece reouroes limits the producticn of the grills The po contribution resource wage per uni of each grill and availshility of the resouroes are givm in the ollowing table Resouroe Usae per Unit Resource Gnill Grill Availabel 180 420 The decision variables used in the linee programming model ae -number of unix of grill 1 to prolux , -nunber o unts of gnill 2 to produce The lince pro unting model and the graphic soluton are en in the folouing 2s,+3x, s 180 4+2x,S 200 100 90 80 Fesible region 70 Optimal solution 36 23) 50 30 10 20 30 40 50'60 900 10

Explanation / Answer

Shadow price of constraint, represents change in objective function if availability of resource is changed by one unit.

If additional unit of resource 2 is made available, the objective function value will increase by shadow price value.

If a unit of resource 2 is reduced, the objective function value will decrease by shadow price amount.

Thus correct option is:

The value of the objective function will increase by mu2 if availability of resource 2 is increased by 1 unit

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