Question

Solve the following linear programming problem by answering parts give below

Max 5x+74

S.T. x≤ 6

2x+3y ≤19

x+y ≤ 8

x,y≥0 Y

Your solution must include: the coordinates of each extreme point, the optimum solution and the optimum objective function value (10 Marks Question)

Answer #1

Consider the following linear programming problem
Max 7X + 8Y
s.t. 5X + 15Y <= 75
6X + 10Y <= 60
X + Y <= 8
X, Y >= 0
What are the maximum values of the objective function?
Group of answer choices
15
59
75
70
5

1.For the following linear programming problem
Max 5X + 7Y
s.t. 1X+ 1Y≤ 6
3X +1Y ≤ 12
X+ 2Y ≤ 10
X, Y ≥ 0
a)Write the problem in standard form.
b)Solve the problem neatly using the graphical solution
procedure(on paper).
c)What are the values of the three slack variables at the
optimal solution?
d)Solve the problem with Microsoft Excel and attach your “own”
printout.

Consider the following linear programming problem
Max 7X + 8Y
s.t. 5X + 15Y <= 75
6X + 10Y <= 60
X + Y <= 8
X, Y >= 0
What are the values of X and Y at the optimal solution?
Group of answer choices
X = 6, Y = 3.5
X= 5, Y=3
X = 3.5, Y = 6
X= 3, Y= 5
X = 2, Y = 7.5

Solve the linear programming problem by the method of corners.
Maximize P = 5x + 7y subject to 2x + y ≤ 16 2x + 3y ≤ 24 y ≤ 7 x ≥
0, y ≥ 0 The maximum is P = at (x, y) = .

Consider the following linear programming problem: Max 8X + 7Y
s.t. 15X + 5Y ≤ 75 10X + 6Y ≤ 60 X + Y ≤ 8 X, Y ≥ 0 The optimal
value of the objective function is ________.
A)59
B)61
C)58
D)60

For the following linear programming problem,
determine the optimal solution by the graphical solution
method
Max -x + 2y
s.t. 6x - 2y <= 3
...

Question 5 options:
Consider the following integer linear programming problem:
Max Z = 3x +
2y
Subject to: 3x + 5y ? 30
4x + 2y ? 28
x
? 8
x
, y ? 0 and integer
The solution to the linear programming formulation is:
x = 5.714, y = 2.571.
What is the optimal solution to the integer
linear programming problem?
State the optimal values of decision variables and the value of
the objective function.

Consider the following linear programming problem
Manimize
$2Y + $5X
Subject To
5Y + 10X ≥ 90
Constraint A
3Y + 9X ≥ 48
Constraint B
X, Y ≥ 0
Constraint C
if A and B are the two binding constraints.
a) What is the range of optimality of
the objective function?
Answer ≤ C1/C2 ≤ Answer
b) Suppose that the unit revenues for Y and X are changed to $20
and $45, respectively. Will the current optimum remain the
same?
AnswerYesNO...

Solve the linear programming problem by the method of
corners.
Maximize
P = 2x + 3y
subject to
x
+
y
≤
10
3x
+
y
≥
12
−2x
+
3y
≥
11
x ≥ 0, y ≥ 0

Question 5 options:
Consider the following integer linear programming problem:
Max Z = 3x +
2y
Subject to: 3x + 5y ≤ 30
5x + 2y ≤ 28
x
≤ 8
x,
y ≥ 0 and integer
The solution to the linear programming formulation is:
x = 4.21, y = 3.47.
What is the optimal solution to the integer
linear programming problem?
State the optimal values of decision variables.
x =
, y =

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