Consider the Following Linear Programming Problem: Maximize 40 X₁

question 33

Multiple Choice

Consider the following linear programming problem: Maximize 40 X₁ + 30 X₂ + 60X₃
Subject to: X₁ + X₂ + X₃ ≥ 90
12 X₁ + 8 X₂ + 10 X₃ ≤ 1500
X₁ = 20
X₃ ≤ 100
X₁ ,X₂ ,X₃ ≥ 0
How many slack,surplus,and artificial variables would be necessary if the simplex algorithm were used to solve this problem?

• A)3 slack,6 surplus,and 6 artificial
• B)2 slack,1 surplus,and 2 artificial
• C)1 slack,2 surplus,and 2 artificial
• D)1 slack,2 surplus,and 1 artificial
• E)None of the above

Appreciate the importance of good communication and listening skills in identifying and understanding issues and arguments.

Recognize the limitations and characteristics of conditional statements in arguments.

Understand the distinctions between arguments and explanations, and between different types of sentences that express propositions.

Evaluate the appropriateness of arguments within rational discussions, emphasizing the avoidance of logical fallacies and the importance of evidence.

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Definitions:

Random Samples

Selections made from a larger population where each member has an equal chance of being included, ensuring the sample's representativeness.

Random Error

An error in measurement that leads to unpredictable deviations in the data.

Appropriate Statistic

The correct or suitable statistical measure or test selected based on the data type and analysis goal.

Research Hypothesis

A statement that proposes a relationship between two or more variables, often implying causation or a difference.