Posted by **anonymous** on Monday, July 18, 2011 at 4:10am.

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.

- math -
**Damon**, Monday, July 18, 2011 at 7:25am
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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