Solve the Following Integer Linear Program:
MAX  &Emsp; $\quad Z = 2 x _ { 1 } + x _ { 2 }$

question 49

Multiple Choice

Solve the following integer linear program:
MAX    $\quad Z = 2 x _ { 1 } + x _ { 2 }$
subject to:     $2 x _ { 1 } + 2 x _ { 2 } \leq 7$
          $4 x _ { 1 } + x _ { 2 } \leq 11$
          $x _ { 1 }$ and $x _ { 2 } \geq 0$
What are the optimal values of x1 and x2?

• A) x₁ = 1, x₂ = 3
• B) x₁ = 4, x₂ = 1
• C) x₁ = 0, x₂ = 3
• D) x₁ = 3, x₂ = 2
• E) x₁ = 2, x₂= 2

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Definitions:

Sample Sizes

The number of individuals or observations included in a sample, crucial for determining the study's statistical power.

Expected Value

The expected value is a measure of the central tendency of a random variable, representing the average outcome one would anticipate over an infinite number of trials.

Sample Proportions

The fraction or percentage of samples in a category or exhibiting a characteristic, used to estimate population proportions.

Population Proportions

Refers to the share or percentage of a specific subgroup within the overall population.