Question
In: Advanced Math
Please explain Question 1 Consider the following linear programming problem: Maximize 3.5x1 + 7x2 Subject to...
Please explain
Question 1
Consider the following linear programming problem:
Maximize 3.5x1 + 7x2
Subject to
4x1 + 3x2 > =12
-4x1 - 6x2 =< 12
x2 > =3
x1, x2 > 0
The above linear programming problem:
exhibits unboundedness
Question 2
Consider the following linear programming
Minimize 6x1 + 4x2
Subject to
5x1 + 3x2 =< 15
6x1 + 8x2 > =48
x2 > =6
x1, x2 > 0
The above linear programming problem:
exhibits infeasibility
Solutions
Colby Messinger answered 1 year agoRelated Solutions
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Consider the following linear programming problem:
Maximize 16X + 14Y
Subject to: 3X + 4Y ≤ 520
3X + 2Y ≤ 320
all variable ≥ 0
The maximum possible value for the objective function is
Consider the following linear programming problem Maximize 6x1 + 4x2 + 5x3 Subject to: 2x1 +...
Consider the following linear programming problem
Maximize 6x1 + 4x2 + 5x3
Subject to:
2x1 + 3x2 + x3 ≥ 30
2x1 + x2 + x3 ≤ 50
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x1, x2, x3 ≥ 0
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c) Find the dual price for the second constraint.
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Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤...
Consider the following linear programming problem
Maximize
$4X1 + $5X2
Subject To
2X1 + 5X2 ≤ 40 hr
Constraint A
3X1 + 3X2 ≤ 30 hr
Constraint B
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Constraint C
if A and B are the two binding constraints.
(Round to ONLY two digits after decimal
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a) What is the range of optimality of
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Answer ≤ C1/C2 ≤ Answer
b) Suppose that the unit revenues for X1 and X2 are changed to
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Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤...
Consider the following linear programming problem
Maximize
$4X1 + $5X2
Subject To
2X1 + 5X2 ≤ 40 hr
Constraint A
3X1 + 3X2 ≤ 30 hr
Constraint B
X1, X2 ≥ 0
Constraint C
if A and B are the two binding constraints.
(Round to ONLY two digits after decimal
points)
a) What is the range of optimality of
the objective function?
.......... ≤
C1/C2 ≤ ............
b) Suppose that the unit revenues for X1 and X2 are changed to
$100 and...
Consider the following linear programming problem Maximize $1 X1 + $2 X2 Subject To 2 X1...
Consider the following linear programming problem
Maximize
$1 X1 + $2 X2
Subject To
2 X1 + X2 ≤ 8
Constraint A
X1 + X2 ≤ 5
Constraint B
X1, X2 ≥ 0
Constraint C
Note: Report two digits after the decimal point. Do NOT
use thousands-separators (,)
1 - Which of the following is the correct standard maximization
form for the above linear programming problem
AnswerCorrectNot Correct
AnswerCorrectNot Correct
AnswerCorrectNot Correct
AnswerCorrectNot Correct
Z -X1 - 2 X2 =...
The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A...
The objective of a linear programming problem is to
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Please use excel! Thanks!
Consider the following linear programming problem: Maximize Profit 30X + 50Y &
Consider the following linear programming problem:
Maximize Profit 30X + 50Y
Subject
to
4X + 5Y = 40,000
X ≥ 3,000
Y ≥ 4,000
X ≥ 0 and Y ≥ 0
Use a graph to show each constraint and to
identify feasible region.
Identify the optimal solution point on your graph. What are the
values of X and Y at the optimal solution?
From your graph, what is the optimal value of...
Consider the following linear programming problem: Maximize Profit 30X + 50Y &
Consider the following linear programming problem:
Maximize Profit 30X + 50Y
Subject
to
4X + 5Y = 40,000
X ≥ 3,000
Y ≥ 4,000
X ≥ 0 and Y ≥ 0
Use a graph to show each constraint and to identify
feasible region.
Identify the optimal solution point on your graph. What are the
values of X and Y at the optimal solution?
From your graph, what is the optimal value of...
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Consider the following Integer Linear Programming (ILP)
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X1, X2 > 0
X1, X2 are integer
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Consider the following linear programming problem: Max Z = 3x1 + 3x2 Subject to: ...
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Max Z =
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x2 at the optimal solution.
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