











Maximise the function P = 22 x +
y subject to the following constraints:




–2
x + 6 y ≥ 24



10 x + 4 y ≥ 20



20 x + y ≤ 18



x, y ≥ 0






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



You will see "yes" if your point lies on
the constraint line and "no" if not.



A "yes" does not imply the point is a
"good" one! Make the region clear to see!














Constraint 1

x

y







Point 1









Point2






Constraint 2

x

y




Point 1








Point2








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:


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






Corner Point 4







The objective function is maximised at corner point
number:


