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Hi all,
Below is the answer give in the kit, I do not understand how market/ demand equation is solved , any help is greatly appreciated.
X- super petrol
Y- regular petrol
C-contributionConstraints:
Heavy: .7x + .5y = 5000
Light: .5x + .7y = 6000
Market: x>=2/3 (x + y)
Contribution : .25x + .10yI have worked out heavy and light constraints figure, but figure how to work demand to plot it on graph paper.
Please someone help me!
If I understand you correctly, the line yo hare trying to plot is x = 2/3(x + y)
If you multiply both sides by 3, then 3x = 2x + 2y, which simplifies to x = 2y
Two points fix a line. One point is x=0 and y=0
For a second point, choose any value of y that will fit on your graph (for example, if y = 100 then x = 200)
Then plot the line through the points 🙂(Since the inequality is x > 2y, then it will be points either on, or to the ‘x’ side of the line (it depends which axis you have let be x)
I was going mad with that question as well (clearly not a mathematician!).. However, I am trying to draw the objective function here but cannot understand what I need to do…
The angle of the contribution line will be the same, whatever the total contribution turns out to be.
So you need to draw the line for any level of total contribution that you want (a guess).
Then, because the angle will be the same whatever the level of contribution, you move it away from the origin as far as you can (without leaving the feasible area) to fine which point gives the maximum contribution.
If you have not already done so, the n it will be worth watching my lecture here on linear programming, where I explain this in detail.
Sir, in this question do we ignore the fact that there is a wastage of 0.2 grams?
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