SOLUTION: I need help please. What are the minimum and maximum values of the function f(x,y)=2x-3y for the region x>= -2, 2=<y=<5, y>= x+1 ? johnminhchi@yahoo.com thank you so much. Jo

Algebra ->  College  -> Linear Algebra -> SOLUTION: I need help please. What are the minimum and maximum values of the function f(x,y)=2x-3y for the region x>= -2, 2=<y=<5, y>= x+1 ? johnminhchi@yahoo.com thank you so much. Jo      Log On


   

Question 908883: I need help please.
What are the minimum and maximum values of the function f(x,y)=2x-3y for the region x>= -2, 2== x+1 ?
johnminhchi@yahoo.com
thank you so much.
John
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the feasible region.

The solution will occur at one of the vertices.
(-2,2),(-2,5),(1,2),(4,5)
.
.
.
(-2,2): f=2%28-2%29-3%282%29=-4-6=-10
(-2,5): f=2%28-2%29-3%285%29=-4-15=-19 <--- Minimum
(1,2): f=2%281%29-3%282%29=2-6=-4 <--- Maximum
(4,5): f=2%284%29-3%285%29=8-15=-7