Question

Transform the model into standard form and solve by using the computer.

Given the following linear programming model:

Maximize Z = 140x + 205y + 190z

Subject to:

10x + 15y + 8z <= 610

x/y <=3

x>=.4(x+y+z)

y>=z

Answer #1

Given the following linear optimization model, transform this
model into the required form and solve using Solver.
Objective function: 8.2? + 7.0? + 6.5? + 9.0? = ??????? ????
Constraints:
6? + 2? + 5? + 7? ≥ 820
?/? + ? + ? + ? ≥ 0.3
? + ?/? + ? ≥ 0.2
? ≥ ? + D
Please Use Excel

Solve the following linear programming model
graphically and explain the solution result.
Maximize Z = 60x1 +
90x2
Subject to
60x1 +
30x2 <= 1500
100x1 +
100x2 >= 6000
x2 >=
30
x1, x2 >= 0

Given use Laplace transform to solve the following systems of
differential equations.
2x' - y' - z' = 0
x' + y' = 4t + 2
y' + z = t2 + 2
SUBJECT = ORDINARY DIFFERENTIAL EQUATIONS
TOPIC = LAPLACE TRANSFORM

Solve the linear programming problem by sketching the region and
labeling the vertices, deciding whether a solution exists, and then
finding it if it does exist. (If an answer does not exist, enter
DNE.)
Maximize P = 10x + 6y
Subject to
2x + y ≤ 90
x + y ≤ 50
x + 2y ≤ 90
x ≥ 0, y ≥ 0

The following constraints of a linear programming model have
been graphed on the graph paper provided (same constraints found in
problem #3) to form a feasible region:
2X + 6Y
>= 120
10X + 2Y > = 200
X +
Y <= 120
X
<= 100
Y <= 80
X,Y
>= 0
Using the graphical method, determine the optional solution and
the objective function value for the following objective functions.
Graph the objective function as a dashed line on...

Solve the following linear programming model by using the
graphical method: graph the constraints and identify the feasible
region. Using the corner points method, determine the optimal
solution (s) (show your work).
Maximize Z = 6.5x1 + 10x2
Subject to x1 + x2 ≤ 15
2x1 + 4x2 ≤ 40
x1 ≥ 8
x1, x2 ≥ 0
b. If the constraint x1 ≥ 8 is changed to x1 ≤ 8, what effect
does this have on the optimal solution? Are...

The following constraints of a linear programming model have
been graphed on the graph paper provided to form a feasible
region:
2X + 6Y
>= 120
10X + 2Y > = 200
X + Y
<= 120
X
<= 100
Y <= 80
X,Y
>= 0
Using the graphical method, determine the optional solution and
the objective function value for the following objective functions.
Graph the objective function as a dashed line on the feasible
region described by the...

Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
14
3x
+
2y
+
4z
≤
24
2x
+
5y
−
2z
≤
10
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P =
at
(x, y, z) =
( )
.

a. Solve the following linear programming model by using the
graphical method: graph the constraints and identify the feasible
region then determine the optimal solution (s) (show your
work).
Minimize Z = 3x1 + 7x2
Subject to 9x1 + 3x2 ≥ 36
4x1 + 5x2 ≥ 40
x1 – x2 ≤ 0
2x1 ≤ 13
x1, x2 ≥ 0
b. Are any constraints binding? If so, which one (s)?

Solve the following Linear Programming graphically (please
graph be excell)
Max Z = 50x + 18y
Subject to: 2 x + y
≤ 100
x + y ≤ 80
and x, y ≥ 0.

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