Basic Linear Programming  
 
Q2) Maximise the function P = 6x + 7y subject to the following constraints:
 
  constraint 1   2x + 3y ≤ 9  
  constraint 2   3x + 2y ≤ 12  
      x,y 0  
 
  x y  
  The function is maximised at the point:   
 
  The maximum valued obtained by the function on the region is:  
 
  Give the optimal values of x, y and P when x and y are integers (whole numbers):
 
  x y   P =  
   
Basic Linear Programming  
 
Q2) Maximise the function 6x + 7y subject to the following constraints:
 
  constraint 1   2x + 3y ≤ 9  
  constraint 2   3x + 2y ≤ 12  
      x,y 0  
 
  x y  
  The function is maximised at the point:   
 
  The maximum valued obtained by the function on the region is:  
 
  Give the optimal values of x, y and P when x and y are integers (whole numbers):
 
  x y   P =