Identify the type of
optimal solution for the following LP problems by the graphical
solution method. Show your work
(1) Min 2X1 +
3X2
S.T. 2X1 - 2X2
<= 2
-2X1 +
X2 <= 1
X1 => 0, X2 => 0
If the objective function of the above formulation is changed
from Min 2X1 + 3X2 to Max
2X1 + 3X2, what type of
optimal solution does this problem provide? Note that all
constraints remain...
Solve the LP problem using graphical method. Determine the
optimal values of the decision variables and compute the objective
function.
Maximize Z = 2A + 10B
Subject to
10A + 4B ≥ 40
A + 6B ≥ 24
A + 2B ≤ 14
A, B ≥ 0
with soln pls thank you!
For the following linear programming problem, determine the optimal
solution by the graphical solution method
Max
-x + 2y
s.t.
6x - 2y <= 3
-2x + 3y <= 6
x + y <= 3
x, y
>= 0
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
Find the optimum solution to the following LP by using the
Simplex Algorithm.
Min z = 3x1 – 2x2+ 3x3
s.t.
-x1 + 3x2 ≤ 3
x1 + 2x2 ≤ 6
x1, x2, x3≥ 0
a) Convert the LP into a maximization problem in standard
form.
b) Construct the initial tableau and find a bfs.
c) Apply the Simplex Algorithm.
solve the following LP. Formulate and algebraically solve the
problem.
what is the new optimal z value
show that the current basis is optimal
max z=65x1+25x2+20x3
8x1+6x2+x3<=48
4x1+2x2+1.5x3<=20
2x1+1.5x2+0.5x3<=8
x2<=5
x1,x2,x3>=0
Using the simplex method, find the optimal solution to the
following LP: A company manufactures three products, A,B, and C.
The sales volume for A is at least 50% of the total sales of all
three products. However, the company cannot sell more than 75 units
of A per day. The three products use one raw material, of which the
maximum daily availability is 240 pounds. The usage rates of the
raw material are 2 lb per unit of A,...
Solve the LP problem. If no optimal solution exists because
there is no Solution Set, enter EMPTY. If no optimal solution
exists because the region is unbounded, enter UNBOUNDED.
Note that an unbounded region can still have an optimal
solution while a bounded region is guaranteed to have optimal
solutions. HINT [See Example 1.]
Maximize and minimize p = x + 2y subject
to
x
+
y
≥
4
x
+
y
≤
10
x
−
y
≤
4
x...