math
posted by anonymous .
Minimize z = 3x + 6y subject to:
4x + y ? 20
x + y ? 20
x + y ? 10
x ? 0
y ? 0
Graph the feasibility region.
Identify all applicable corner points of the feasibility region.
Find the point(s) (x,y) that minimizes the objective function z = 3x + 6y.

I assume those ? marks are < and > marks
corners
(0,0)
4x+y = 20
if x = 0, y = 20
if y = 0, x = 5
x+y = 20
if x = 0 , y = 20
if y = 0 , x = 20
this one is above and beyond the others when you graph it
x+y = 10
if x = 0 , y = 10
if y = 0, x = 10
intersection of
x+y = 10
4x+y = 20

3 x = 10
x = 10/3
y = 7/3
graph those and you will see that (0,0) is the minimum of 3x+6y
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