











Maximise the function P = 3 x +
2 y subject to the following constraints:




2 x + 4 y ≤ 24



x ≥ 4



y ≥ 2




Enter two points for each constraint line to
generate a plot in the window below:



Cells will turn purple if your chosen point
genuinely lies on the constraint line.




Constraint 1

x

y



Point 1







Point2








Constraint 2

x

y






Point 1








Point 2





Constraint 3

x

y



Point 1





Point 2









Starting with the corner
point nearest the origin, (0, 0),
enter the corner points in clockwise order:



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:


