Find the Absolute Extrema of the Function $f ( x , y ) = 2 x + 3 y - 5$

Multiple Choice

Find the absolute extrema of the function $f ( x , y ) = 2 x + 3 y - 5$ on the closed triangular region with vertices $( 0,0 )$ , $( 5,0 )$ and $( 5,4 )$ .

A) Absolute minimum 0, Absolute maximum 5
B) Absolute minimum -5, Absolute maximum 5
C) Absolute minimum -5, Absolute maximum 17
D) Absolute minimum 5, Absolute maximum 17