Solve the following linearprogramming model graphically. In addition, write the problem in standard formand do a constraint analysis for the optimal...

2. Solve the following linearprogramming model graphically. In addition, write the problem in standard formand do a constraint analysis for the optimal solution.<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

Maximize14x + 20y

Subjectto 

x + 2y <20                  

x + y <15                                      

x >8 

x, y ≥0