A Linear Programming Problem Has Three Constraints,plus Nonnegativity Constraints on X

question 60

Multiple Choice

A linear programming problem has three constraints,plus nonnegativity constraints on X and Y.The constraints are: 2X + 10Y ≤ 100;4X + 6Y ≤ 120;6X + 3Y ≤ 90. What is the largest quantity of X that can be made without violating any of these constraints?

• A)50
• B)30
• C)20
• D)15
• E)10

---

Definitions:

Evaluation

The process of assessing or judging the performance, effectiveness, or value of something.

Measure Progress

The process of evaluating the advancement or development of a project, student, or organization towards achieving specific goals.

Plan Objectives

Specific, measurable goals that an organization or project aims to achieve as part of its strategic or operational planning.

Reputational Objective

A goal set by individuals or organizations to maintain or improve their standing and perception among stakeholders and the public.