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

From the diagram, it is clear that the optimal solution is kept intact when the objective line slope varies between the two lines:

7x1 + 6x2 = 420
4x1 + 2x2 = 200

When the line is parallel to 7x1 + 6x2 = 420,

c1 / 12 = 7/6 or,
15 / c2 = 7/6

When the line is parallel to 4x1 + 2x2 = 200

c1 / 12 = 2 or,
15 / c2 = 2

So, both of the above should be the correct answer.

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