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A farmer needs to grow two kinds of crop: Barley and Wheat.
be the number of hectares of Barley and
be the number of hectares of Wheat to be grown.
(Note 1 hecatre is 10,000 square metres.)
He must grow
at least 10 hectares of Barley
at least 20 hectares of Wheat
to meet demand.
In total, the farmer has 80 hectares availabe for growing these crops.
Workforce constraints mean that the amount of wheat cannot be more than three times the amount of barley.
If the profit on Barley is £800 per hectare and on Wheat is £500 per hectare, how many hectares of each
kind of crop should be grown to maximise profits?
Enter two points for each constraint line to generate a plot in the window below.
You should choose points which clearly show the region formed by the constraints.
[No canvas support]
Starting with the corner point nearest the origin,
, enter the corner points in clockwise order:
Give your answers rounded to 2 decinmal places.
" based on your
Feasible Region Corner Points
Corner Point 1
Corner Point 2
Corner Point 3
Corner Point 4
The objective function is maximised at corner point number: