Consider the Following Integer LP Solve for the Value of X₂ at the First Node

question 39

Multiple Choice

Consider the following integer LP.
$\begin{array} { l l } \text { MAX } & x _ { 1 } + 5 x _ { 2 } \\\text { subject to: } & x _ { 1 } + 10 x _ { 2 } \leq 20 \\& x _ { 1 } \leq 2 \\& x _ { 1 } , x _ { 2 } \geq 0 \text { and integer }\end{array}$
Solve for the value of x₂ at the first node and identify the constraint below that correctly represents one of the descendant branches.

• A) x₂ ? 1
• B) x₂ ? 1
• C) x₂ ? 2
• D) x₂ ? 0

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Definitions:

Monopolistic Competition

An industry that has many firms producing a differentiated product.

Over-Differentiation

Over-differentiation occurs when a company creates too many variations of a product, causing confusion among consumers and potentially harming sales.

Monopoly Profits

Excess profits earned by a monopoly as a result of having sole control over a market, enabling it to charge higher prices by restricting supply.

Product Differentiation

The process businesses use to make a product or service stand out from its competitors through distinctions in quality, design, or features.