Maximise the function P =  x + 4 y subject to the following constraints:  
 
  4 x + 2 y ≥ 24  
  x + 3 y ≤ 30  
   x – 3 y ≤  0  
  – 4 x + 2 y ≤  4   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  
  Constraint 4 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  
  Corner Point 4  
 
  The objective function is maximised at corner point number: