SOLUTION: Hello. I'm having problems with maximums in linear programming.
What is the maximum value of z=3x+y for the region given by the system:
x>= 0
y>= 0
1/2x+y<=11
3x+2y<= 30
I
Algebra.Com
Question 91307: Hello. I'm having problems with maximums in linear programming.
What is the maximum value of z=3x+y for the region given by the system:
x>= 0
y>= 0
1/2x+y<=11
3x+2y<= 30
I'm sure you have to plot a graph and find the feasible region. I just can't remember how to plot the graph correctly.
Thanks so much.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the maximum value of z=3x+y for the region given by the system:
x>= 0
y>= 0
These two conditions limit the search to the 1st Quadrant.
-------------------------------------
1/2x+y<=11
Solve for y so you can graph this restriction:
y <= (-1/2)x + 11
---------------
Find the coordinates of the intersection points of the
restricion lines.
Put those coordinate vales into the objective function, z=3x+y,
and see which coordinate pair give a maximum value.
=======================
Cheers,
Stan H.
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