Solve the following linear programming problem.
Maximize: z=10x +12y
subject to: 7x+4y<=28
10x+y<=28
x>=0
y>=0
1. The Maximun value is ____at the point____.
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
21
3x
+
2y
+
4z
≤
36
2x
+
5y
−
2z
≤
15
x ≥ 0, y ≥ 0, z ≥ 0
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
56
3x
+
2y
+
4z
≤
96
2x
+
5y
−
2z
≤
40
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = at
(x, y, z) =
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
28
3x
+
2y
+
4z
≤
48
2x
+
5y
−
2z
≤
20
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = ________
at
(x, y, z) = (_______)
.
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)...
Solve the linear programming problem by the method of
corners.
Maximize
P = 3x + 6y
subject to
x
+
y
≤
10
3x
+
y
≥
12
−2x
+
3y
≥
13
x ≥ 0, y ≥ 0
The maximum is P = ? at (x, y) = ( ? ),
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)