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The optimum solution for the fertilizer problem is for the farmer to use 15 bags of low grade and no high grade per hectare. This will give him a yield of 120 tonnes per hectare. Click the Show Solution button to show this on the applet.
(Is this realistic? Perhaps not ... I don't know any crop that
yields that much. Let's just say that it's a special experimental GM
crop, shall we? Seriously, though, for a real world problem, one of
the first questions you should ask after obtaining a solution is
whether the results are reasonable. If they're not, you need to start
double-checking and questioning the data given. In this case, however,
since our data is artificial, we'll carry on.)
Objective function | Constraint | Optimum value | Optimum at | ||
---|---|---|---|---|---|
a) | maximize 2x+y | subject to 5x+4y≤24 | 9.6 | x=4.8, y=0 | |
b) | maximize x+5y | subject to 3x+5y≤35 | 35 | x=0, y=7 | |
c) | maximize 13x+7y | subject to 4x+6y≤54 | 175.5 | x=13.5, y=0 |
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