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

---

Definitions:

Concept Testing

The process of evaluating consumer response to a product idea before it is introduced to the market.

Competitors Copy

The act of imitating the products, services, or strategies of competing businesses.

Green Design

An approach to designing products and services in a way that reduces their environmental impact, often through the use of sustainable materials and energy-efficient production processes.

Sustainable Design

The philosophy of building products and services in a way that eliminates negative environmental impacts.