Suppose You Want to Minimize an Objective Function Z=2x₁+3x₂

question 50

Multiple Choice

Suppose you want to minimize an objective function z=2x₁+3x₂. Both decision variables must be integer. The optimal solution to the LP relaxation will:

• A) be smaller than the optimal IP solution
• B) be larger than the optimal IP solution
• C) can be either smaller or larger than the optimal IP solution
• D) will be within 5% of the optimal IP solution value

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Definitions:

Photosynthesis

The process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water, generating oxygen as a byproduct.

Carbon Dioxide Fixation

The process of converting atmospheric carbon dioxide into a usable form of carbon by living organisms, crucial in photosynthesis.

RuBP

Ribulose biphosphate, a molecule that acts as the acceptor of carbon dioxide in the first step of the Calvin cycle during photosynthesis.

Carbons

Chemical elements with the symbol C and atomic number 6, essential to all known life, and the basis of organic chemistry.