Indicate which of the following is an all-integer linear program and which is a mixed-integer linear program. Write the LP Relaxation for the problem but do not attempt to solve. (a) 70x₁ + 65x₂ (b) Max Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. s.t. Write the LP Relaxation for the problem. (1) (2) (3) Max s.t. -Select--- Min s.t. (1) (2) 4.5x₁ + 2x₂ (3) x₁ + x₂ X₁ X₂ ≥ 0 and x₂ integer (1) (2) 9x₁ +4.5x₂ ≤ 400 ≤ 250 ≤ 150 Min s.t. Is this linear program an all-integer linear program or a mixed-Integer linear program? O This is an all-integer linear program. O This is a mixed-integer linear program. Write the LP Relaxation for the problem. 7X₁ + 8x₂ (1) 6x₁ + 8x₂ 28 (2) 6x₁ + 10x₂ ≥ 12 X₁, X₂20 and integer -Select---

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 63P
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Indicate which of the following is an all-integer linear program and which is a mixed-integer linear program. Write the LP Relaxation for the problem but do not attempt to solve.
(a)
70x1 + 65x2
(b)
Is this linear program an all-integer linear program or a mixed-integer linear program?
This is an all-integer linear program.
This is a mixed-integer linear program.
Max
Write the LP Relaxation for the problem.
s.t.
(1)
(2)
(3)
Max
s.t.
---Select---
(1) 9x₁ + 4.5x₂ ≤ 400
(2) 4.5X₁ + 2x₂
≤250
(3)
x₁ + x₂
≤ 150
X₁, X₂20 and X₂ integer
Min
s.t.
(1)
Is this linear program an all-integer linear program or a mixed-integer linear program?
This is an all-integer linear program.
This is a mixed-integer linear program.
(2)
Min
s.t.
Write the LP Relaxation for the problem.
7x1 + 8x2
(1) 6X₁ + 8X₂ ≥ 8
(2) 6X₁ + 10x₂ ≥ 12
X₁, X₂20 and integer
---Select---
Transcribed Image Text:Indicate which of the following is an all-integer linear program and which is a mixed-integer linear program. Write the LP Relaxation for the problem but do not attempt to solve. (a) 70x1 + 65x2 (b) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. Max Write the LP Relaxation for the problem. s.t. (1) (2) (3) Max s.t. ---Select--- (1) 9x₁ + 4.5x₂ ≤ 400 (2) 4.5X₁ + 2x₂ ≤250 (3) x₁ + x₂ ≤ 150 X₁, X₂20 and X₂ integer Min s.t. (1) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. (2) Min s.t. Write the LP Relaxation for the problem. 7x1 + 8x2 (1) 6X₁ + 8X₂ ≥ 8 (2) 6X₁ + 10x₂ ≥ 12 X₁, X₂20 and integer ---Select---
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