Question

Solve the linear programming problem by the method of corners.

Maximize P = 2x + 6y

subject to 2x + y ≤ 16

2x + 3y ≤ 24

y ≤ 6

x ≥ 0, y ≥ 0

The maximum is P = at (x, y) = .

Answer #1

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) = .

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

Solve the linear programming problem by the method of corners.
Minimize C = 4x + 6y subject to 4x + y ≥ 38 2x + y ≥ 30 x + 3y ≥
30 x ≥ 0, y ≥ 0 The minimum is C = at (x, y) =

Use the simplex method to solve the linear programming
problem.
Maximize
P = 6x + 5y
subject to
3x
+
6y
≤
42
x
+
y
≤
8
2x
+
y
≤
12
x ≥ 0, y ≥ 0
The maximum is P =
at
(x, y) =

Solve the linear programming problem by the method of
corners.
Find the minimum and maximum of P = 5x + 4y subject to
3x + 5y ≥ 32
3x + y ≤ 16
−2x + y ≤ 6
x ≥ 0, y ≥ 0
Minimum:
P =
x =
y =
Maximum:
P =
x =
y =

Solve the linear programming problem by the method of corners.
Find the minimum and maximum of
P = 3x + 2y subject to
3x + 5y ≥ 20
3x + y ≤ 16
−2x + y ≤ 4
x ≥ 0,
y ≥ 0.

Use the simplex method to solve the linear programming
problem.
Maximize
P = 4x + 3y
subject to
3x
+
4y
≤
30
x
+
y
≤
9
2x
+
y
≤
17
x ≥ 0, y ≥ 0

Use the method of this section to solve the linear programming
problem.
Maximize
P = 11x +
y
subject to
2x
+
y
≤
20
−x
+
y
≥
2
x ≥ 0, y ≥ 0
The maximum is P =
at (x, y) =

2. Solve the linear programming problem by the simplex
method.
Maximize 40x + 30y subject to the constraints:
x+y≤5
−2x + 3y ≥ 12
x ≥ 0, y ≥ 0

Solve the linear programming problem by the method of corners.
Minimize C = 8x + 3y subject to x + y ≤ 48 x + 3y ≥ 60 9x + 5y ≤
320 x ≥ 10, y ≥ 0

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