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  
 
[No canvas support]
 
 
  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: