Question
In: Statistics and Probability
A linear programming problem has been formulated as follows: Maximize 10 X1 + 20 X2 X1...
A linear programming problem has been formulated as follows: Maximize 10 X1 + 20 X2 X1 + 2 X2 ≤ 100 2 X1 + X2 ≤ 100 2 X1 + 2 X2 ≥ 100 X1 ≥ 0, X2 ≥ 0 Which of the following represents the maximum value of the OF to this problem?
Select one:
a. 1350
b. 800
c. 950
d. 1200
e. 1000
Solutions
orchestra answered 2 years agoRelated Solutions
consider the linear programming problem maximize z = x1 +x2 subjected tp x1 + 3x2 >=...
consider the linear programming problem
maximize z = x1 +x2
subjected tp
x1 + 3x2 >= 15
2x1 + x2 >= 10
x1 + 2x2 <=40
3x1 + x2 <= 60
x1 >= 0, x2>= 0
solve using the revised simplex method and comment on any
special charateristics of the optimal soultion. sketch the feasible
region for the problem as stated above and show on the figure the
solutions at the various iterations
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 =...
Solve the following linear programming problem by solver. Maximize Z = 7 x1 + 5 x2...
Solve the
following linear programming problem by solver.
Maximize Z = 7 x1 + 5 x2 + 5
x3
subject to
x1 + x2 + x3 <= 25
2 x1 + x2 + x3 <= 40
x1 +
x2 <=
25
x3 <= 6
x1, x2, x3 >= 0 (non-negativity conditions)
For the following linear programming problem: Maximize z = 2x1+ x2 Such that ...
For the following linear programming problem:
Maximize z = 2x1+ x2
Such that
x1+ 2x2 ≤ 12
x2 ≥
3
x1,x2 ≥
0
(a) Write the first two constraints in equation form by adding
slack or subtracting excess (surplus) variables.
(b)Find all basic solutions for this LP
(c) Which of these solutions are feasible?
(d)Which of these feasible solutions is optimal? Find the
optimal value of z
Consider the following linear programming problem. min −x1 + 4x2 subject to: • x1 + x2...
Consider the following linear programming problem.
min −x1 + 4x2
subject to:
• x1 + x2 ≥ 1
• 3x1 + x2 ≤ .5
• x1, x2 ≥ 0
Formulate the dual of this problem.
Solve the following linear programming problem by the graphical method. Maximize Z = 400 X1 +...
Solve the following linear programming problem by the
graphical method.
Maximize Z = 400 X1 + 200 x 2
Subject to : X1 + 8X2 <= 24
X1 + 2X2 <= 12
X1 >= 0 , X2 >= 0
You will need to graph each of the constraints to answer
the following questions. You can draw a rough graph.
a) State the coordinates of the point where the
constraints interact.
b) Define in words the region of feasible
solutions.
c)...
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...
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
maximize 1.50A + 1.50B, subject to 3A + 2B ≤ 600, 2A + 4B ≤ 600, 1A
+ 3B ≤ 420, and A,B ≥ 0. Using Lingo software determine the optimal
product mix for this problem? (include Lingo output)
Please use excel! Thanks!
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
solve the ILP model. With the
help of Tora software, draw the B & B tree. Always give
priority for X1 in branching over
X2. Clearly label the...
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