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 = 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) = (_______)
.
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) ____
1) Use the simplex method to solve the linear programming
problem. Maximize P = 6x + 5y subject to 3x + 4y ≤ 34 x + y ≤ 10 3x
+ y ≤ 28 x ≥ 0, y ≥ 0 The maximum is P = at (x, y) =
2) Use the simplex method to solve the linear programming
problem. Maximize P = x + 2y + 3z subject to 2x + y + z ≤ 21 3x +
2y...
Solve the linear programming problem by the method of
corners.
Find the minimum and maximum of P = 4x +
2y subject to
3x
+
5y
≥
20
3x
+
y
≤
16
−2x
+
y
≤
1
x ≥ 0, y ≥ 0.
The minimum is P =
at (x, y) =
The maximum is P =
at (x, y) =