SOLUTION: can someone help me understand how to use the graphical method to solve each linear programming.
Maximize to subject: z = 2x + 4y
3x + 2y _< 12
Algebra ->
Linear-equations
-> SOLUTION: can someone help me understand how to use the graphical method to solve each linear programming.
Maximize to subject: z = 2x + 4y
3x + 2y _< 12
Log On
Question 150196: can someone help me understand how to use the graphical method to solve each linear programming.
Maximize to subject: z = 2x + 4y
3x + 2y _< 12
5x + y _> 5
x_>0
y_>0
You can put this solution on YOUR website! use the graphical method to solve each linear programming.
Maximize to subject: z = 2x + 4y
3x + 2y _< 12
5x + y _> 5
x_>0
y_>0
---------------
Since both x and y are >= 0 your solutions are in the 1st quadrant.
-----------------------
Graph y = (-3/2)x + 12 and shade the half-plane below (<) it in the 1st quadrant.
------------------------
Graph y = -5x + 5 and shade the half-plane above (>)it in the 1st and under
the previous line.
------------------------
------------------------
Find the vertices of the resulting geometric figure (quadrangle).
(0,12)(0,5)(8,0)(1,0)
------------------------
Substitute each pair into your objective function to find which x/y pair gives the maximum z value.
==============================
Cheers,
Stan H.
(