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Dear John,
I wanted to ask that in linear programming, once the feasible area, has been identified then we can now (simply by looking) which of the corners will satisfy the objective, by seeing from our eyes in which of the corners do the two constraint lines intersect ( I mean in every linear programming situation the answer is always at where the two lines intersect) so what’s the use of drawing the ISO contribution line after all? Is it just to show the examiner that we have learned what’s in the syllabus?
I also have a problem finding out which point is the correct answer while drawing the ISO contribution line (although have watched your lecture here) so for me it’s easier to find the answer at the point of intersection.
Is this conclusion correct? And please guide me also on how to draw the ISO contribution line ‘parrel’ on the correct point, further away from the source?
Thanks.
You do need the iso-contribution line, for two reasons.
One is that the examiner will expect to see it!!
More importantly, although the optimum solution will be at the intersection of two of the contraints, if there are three (or more) constraints then not all all of the intersections will be feasible (some of them will break other constraints).
(Even if there are only two contraints, the optimum will not necessarily be where the two lines cross – it could be where one of the constraints crosses one of the axes).It is only by plotting the constraints on a graph and by drawing the iso-contribution line that you can be sure as to what is the optimum.
The only way I can suggest of keeping the line parallel is to either move your ruler carefully, or have a pencil and roll it away from the origin.
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