Answer:
26
Step-by-step explanation:
The objective function is;
[tex]z(x,y)=4x+5y[/tex]
The vertices of the feasible region are (0,4), (4,2) and (5,0) and (0,0)'
We substitute the vertices into the objective function to get;
At (0,4);
[tex]z(0,4)=4(0)+5(4)=20[/tex]
At (0,4);
[tex]z(4,2)=4(4)+5(2)=26[/tex]
At (5,0);
[tex]z(5,0)=4(5)+5(0)=20[/tex]
At (0,0);
[tex]z(0,0)=4(0)+5(0)=0[/tex]
Therefore the maximum value is 26
