Classify the Following Problems as to Whether They Are Pure-Integer,mixed-Integer,zero-One,goal,or

question 49

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

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Definitions:

Deposited

Referring to money that has been placed into a financial account for safekeeping or savings.

Time-Value

Refers to the concept that money available at the present time is worth more than the same amount in the future due to its potential earning capacity.

Monetary Compensation

Payment provided to employees or workers in the form of money for their services or labor.

Labor Time

The duration of time workers spend performing their duties to produce goods or provide services.