Classify the Following Problems as to Whether They Are Pure-Integer

question 44

Essay

Classify the following problems as to whether they are pure-integer, mixed-integer, zero-one, goal, or nonlinear programming problems.
(a)Maximize Z = 5 X1 + 6 X1 X2 + 2 X2
Subject to: 3 X1 + 2 X2 ≥ 6
X1 + X2 ≤ 8
X1, X2 ≥ 0
(b)Minimize Z = 8 X1 + 6 X2
Subject to: 4 X1 + 5 X2 ≥ 10
X1 + X2 ≤ 3
X1, X2 ≥ 0
X1, X2 = 0 or 1
(c)Maximize Z = 10 X1 + 5 X2
Subject to: 8 X1 + 10 X2 = 10
4 X1 + 6 X2 ≥ 5
X1, X2 integer
(d)Minimize Z = 8 X12 + 4 X1 X2 + 12 X22
Subject to: 6 X1 + X2 ≥ 50
X1 + X2 ≥ 40

---

Definitions:

Counter-Arguments

Arguments presented to oppose or refute the points made in another argument, often used in debates or critical discussions.

Social Anxiety

A feeling of unease, worry, or fear about social situations, often driven by a fear of being judged or embarrassed by others.

Psychological Disorders

Mental disorders that significantly affect one's ability to perform daily activities and interact socially, often characterized by abnormal thoughts, feelings, or behaviors.

Live

To continue to be alive or have life; to experience existence or the various aspects of life through actions, thoughts, or feelings.