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 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)
Use the simplex method to solve the linear programming
problem.
Maximize
P = 4x + 3y
subject to
3x
+
6y
≤
33
x
+
y
≤
7
3x
+
y
≤
19
x ≥ 0, y ≥ 0
The maxium P= ____ at (x,y) ____