Question
In: Statistics and Probability
Solve the following linear programming problem using the dual simplex method: max ? = −?1 −...
Solve the following linear programming problem using the dual simplex method:
max ? = −?1 − 2?2
s.t.
−2?1 + 7?2 ≤ 6
−3?1 + ?2 ≤ −1
9?1 − 4?2 ≤ 6
?1 − ?2 ≤ 1
7?1 − 3?2 ≤ 6
−5?1 + 2?2 ≤ −3
?1,?2 ≥ 0
Solutions
orchestra answered 1 year agoRelated Solutions
Maximization by the simplex method Solve the following linear programming problems using the simplex method. 1>....
Maximization by the simplex method
Solve the following linear programming problems using the
simplex method.
1>.
Maximize z = x1 + 2x2 +
3x3
subject to x1 + x2 +
x3 ≤ 12
2x1 + x2 + 3x3 ≤ 18
x1, x2, x3 ≥ 0
2>.
A farmer has 100 acres of land on which she plans to grow wheat
and corn. Each acre of wheat requires 4 hours of labor and $20 of
capital, and each acre of corn...
Use the dual simplex method to solve the following linear programming problems. Clearly indicate all the...
Use the dual simplex method to solve the following linear
programming problems. Clearly indicate all the steps, the entering
and departing rows and columns and rows, the pivot and the row
operations used. Use the simplex method to solve the following
linear programming problems. Clearly indicate all the steps, the
entering and departing rows and columns and rows, the pivot and the
row operations used. 2.2.1 An electronics manufacturing company has
three production plants, each of which produces three different...
Simplex Method Consider the following linear programming problem: max z = 6x1 + 3x2 - 9x2...
Simplex Method Consider the following linear programming
problem:
max
z = 6x1 + 3x2 - 9x2 - 9x3 + 15x4
s.t. 2x1 + 4x2 +6x3 + 8x4 <= 80
6x1
- 3x2 +3x3 + 6x4 <= 24
12x1 - 6x2 + 3x3 - 3x4 <= 30
x1,
x2, x3, x4 >= 0
Rewrite the problem in standard form, that is, add the necessary
slack variables in order to consider only equality constraints (and
non-negativity).
What is the...
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate...
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...
Use the simplex method to solve the linear programming problem. The maximum is ___ when x1=...
Use the simplex method to solve the linear programming problem.
The maximum is ___ when x1= ___ and x2=___
a.)
Maximize : z= 24x1+2x2
Subject to: 6x1+3x2<=10, x1+4x2<=3
With: x1>=0, x2>=0
b.)
Maximize: z=2x1+7x2
Subject to: 5x1+x2<=70, 7x1+2x2<=90, x1+x2<=80
With: x1,x2>=0
c.)
Maximize: z=x1+2x2+x3+5x4
Subject to: x1+3x2+x3+x4<=55, 4x+x2+3x3+x4<=109
With: x1>=0, x2>- 0, x3>=0, x4>=0
d.)
Maximize: z=4x1+7x2
Subject to: x1-4x2<=35 , 4x1-3x2<=21
With: x1>=0, x2>=0
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
21
3x
+
2y
+
4z
≤
36
2x
+
5y
−
2z
≤
15
x ≥ 0, y ≥ 0, z ≥ 0
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
56
3x
+
2y
+
4z
≤
96
2x
+
5y
−
2z
≤
40
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = at
(x, y, z) =
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
28
3x
+
2y
+
4z
≤
48
2x
+
5y
−
2z
≤
20
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = ________
at
(x, y, z) = (_______)
.
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