The Following Linear Programming Problem Has Been Written to Plan

question 35

Multiple Choice

The following linear programming problem has been written to plan the production of two products.The company wants to maximize its profits.
X₁ = number of product 1 produced in each batch X₂ = number of product 2 produced in each batch
MAX: ^{150 X}₁ ^{+ 250 X}₂
Subject to: ^{2 X}₁ ^{+ 5 X}₂ ^{≤ 200}
3 X₁ + 7 X₂ ≤ 175 X₁,X₂ ≥ 0
How many units of resource two the second constraint) are unutilized if the company produces 10 units of product 1 and 5 units of product 2?

• A)110
• B)150
• C)155
• D)100

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Definitions:

Not-for-Profit Organizations

Organizations that operate for purposes other than making a profit, often focused on social, educational, or charitable activities.

General Corporations

A legal entity created by individuals, stockholders, or shareholders, with the purpose of operating for profit. Corporations have legal rights, liabilities, and can enter contracts.

Capital Item

Long-lasting goods that a firm acquires and uses in the production of other goods or services that have a life span extending beyond one year.

Specialty Products

Goods or services that are perceived as unique or high-value by consumers, often requiring a significant effort to search for and purchase.