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Maximise the function
P = 3 x + 8 y
subject to the following constraints:
3 x + 6 y
≥
36
x + y
≤
10
–
2 x + y
≤
2
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.
Constraint 1
x
y
Point 1
Point2
Constraint 2
x
y
Point 1
Point 2
Constraint 3
x
y
Point 1
Point 2
[No canvas support]
Starting with the corner point nearest the origin,
(0, 0)
, enter the corner points in clockwise order:
Give your answers rounded to 2 decinmal places.
Calculate "
P
" based on your
rounded
answers.
Feasible Region Corner Points
x
y
P
Corner Point 1
Corner Point 2
Corner Point 3
The objective function is maximised at corner point number:
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