The Following Linear Programming Problem Has Been Written to Plan

question 19

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 one the first constraint) are used if the company produces 10 units of product 1 and 5 units of product 2?

• A)45
• B)15
• C)55
• D)50

---

Definitions:

Satisfy Demand

The ability of a company or market to meet the consumer demand for goods or services, either through current supply or production capacity.

Constrained Resource

A factor that limits the output of a process or the achievement of organizational goals, often critical in determining maximum production or service levels.

Special Order

An order for a product or service that is not part of the company's usual offerings or produced under unique specifications, often at a negotiated price.

Minimum Price

The lowest price at which a product or service can be sold, often set to cover costs or comply with legal requirements.