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 2 years 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
4x1 + 2x2 + 3x3 ≤ 120
x1, x2, x3 ≥ 0
a) Find the optimal solution by using simplex method
b) Find the dual price for the first constraint.
c) Find the dual price for the second constraint.
d) Find the dual price for the third constraint.
e) Suppose the right-hand...
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
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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 10X + 8Y Subject to: 40X + 24Y <=...
Consider the following linear programming problem:
Maximize 10X + 8Y
Subject to: 40X + 24Y <= 600
20X + 30Y <= 480
all variables >= 0
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
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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 &
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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 Integer Linear Programming (ILP) model Maximize Z = X1 + 4X2 Subject to...
Consider the following Integer Linear Programming (ILP)
model
Maximize Z = X1 + 4X2
Subject to X1 + X2 < 7 // Resource 1
–X1 + 3X2 < 3 // Resource 2
X1, X2 > 0
X1, X2 are integer
i. Consider using the Branch and Bound (B & B) technique to
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priority for X1 in branching over
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