Answer:
Maximum value of f(x,y) at (10,13)=74
Minimum value of f(x,y) at (10,0)=-56
Step-by-step explanation:
We are given that
[tex]f(x,y)=14-7x+10y[/tex]
Vertices are (0,0),(10,0) and (10,13)
Substitute x=0 and y=0
[tex]f(0,0)=14-0+0=14[/tex]
Substitute x=10 and y=0
[tex]f(10,0)=14-7(10)+10(0)=14-70=-56[/tex]
Substitute x=10 and y=13
[tex]f(10,13)=14-7(10)+10(13)=14-70+130=74[/tex]
Maximum value of f(x,y) at (10,13)=74
Minimum value of f(x,y) at (10,0)=-56