Use the graphical method for linear programming to find the
optimal solution for the following problem.
Maximize P = 4x + 5 y
subject to 2x + 4y ≤ 12
5x + 2y ≤ 10
and x ≥ 0, y ≥
0.
graph the feasible region
For the following LP problem, determine the optimal solution by
the graphical solution method.
Min Z= 3x1+2x2
Subject to 2x1+x2 >10
-3x1+2x2
< 6
X1+x2
> 6
X1,x1
> 0
Graph and shade the feasible region
Find the complete optimal solution to this linear programming
problem.
Max
5x + 3y
s.t.
2x + 3y <=30
2x + 5y <= 40
6x - 5y <= 0
x , y >= 0
I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL WORK AND
FORMULAS, THANK YOU
Solve the following linear programming problem by the
graphical method.
Maximize Z = 400 X1 + 200 x 2
Subject to : X1 + 8X2 <= 24
X1 + 2X2 <= 12
X1 >= 0 , X2 >= 0
You will need to graph each of the constraints to answer
the following questions. You can draw a rough graph.
a) State the coordinates of the point where the
constraints interact.
b) Define in words the region of feasible
solutions.
c)...
The optimal solution of the linear programming problem is at the
intersection of constraints 1 and 2. Please answer the following
questions by using graphical sensitivity analysis.
Max s.t.
Max 2x1 + x2
s.t. 4x1 +1x2 ≤8
4x1 +3x2 ≤12
1x1 +2x2 ≤6
x1 , x2 ≥ 0
Over what range can the coefficient of x1 vary before the
current solution is no longer optimal?
Over what range can the coefficient of x2 vary before the
current solution is no...
Solve the given linear programming problem using the simplex
method. If no optimal solution exists, indicate whether the
feasible region is empty or the objective function is unbounded.
(Enter EMPTY if the feasible region is empty and UNBOUNDED if the
objective function is unbounded.)
Minimize
c = x + y + z +
w
subject to
x
+
y
≥
80
x
+
z
≥
60
x
+
y
−
w
≤
50
y
+
z
−
w
≤
50...
What is the difference between the optimal solution to a linear
programming problem and the objective function value at the optimal
solution? Use an example in your explanation