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Hi,
I was doing Linear programming and I have a doubt. The question has 4 constraints. 2 minimum production constraints and a material and labour constraint. The feasible area is the common area that falls into all 4 constraints right. And i can use iso contribution method to find the optimum mix. Now my issue is, the feasible area as per my graph is the area below 2 minimum production constraints . That’s the area common to all 4 constraints. So i took the optimal point accordingly.
However answer key says that the optimal point is where my material and labour constraints meet which is above my feasible area and if i consider that it is.beyond my minimum production constraints. Why might that be ? This isn’t a past paper que so its difficult for u to direct me. But from the info provided can u help ?
Constraints :
Minimum productionA>=200
B>=100Material
0.5A+ 1B >=500Labour
2.5A+ 1.5B >=1500Objective function = €500A +€750B
The production constraints are that A and B must be more than 200 and 100 respectively (not less than).
So the feasible area must be above these two lines, and below the material and labour lines (they should be written as less than or equal, not more than or equal).When you draw the graph, the furthest point away from the origin will be where the material and labour lines cross.
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