Question
In: Advanced Math
QUESTION 1: Solve the linear programming model given below using the simplex method. Write the primal...
QUESTION 1: Solve the linear programming model given below using the simplex method. Write the primal and dual results from the optimal table you obtained.
MAX Z = 10?1 + 20?2 + 5?3
6?1 + 7?2 + 12?3 ≥ 560
5?1 − 3?2 + x3 ≤
100
2000?1 + 1000?2 + 1000?3 ≤
62298
?1,?2,?3 ≥ 0
IMPORTANT REMINDER ABOUT THE QUESTION SOLUTION: NEW ORDER CALCULATIONS SHOULD BE WRITTEN DETAILED WHEN CREATING THE SYMPLEX TABLES. WHEN THE CALCULATIONS ARE SHOWED AND THE TABLES ARE CREATED, THE DECIMAL SECTION WILL STAY WITH ITS Rational Form.
Solutions
Colby Messinger answered 2 years 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...
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...
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
1) Use the simplex method to solve the linear programming problem. Maximize P = 6x +...
1) Use the simplex method to solve the linear programming
problem. Maximize P = 6x + 5y subject to 3x + 4y ≤ 34 x + y ≤ 10 3x
+ y ≤ 28 x ≥ 0, y ≥ 0 The maximum is P = at (x, y) =
2) Use the simplex method to solve the linear programming
problem. Maximize P = x + 2y + 3z subject to 2x + y + z ≤ 21 3x +
2y...
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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