A Linear Programming Problem Has Three Constraints, Plus Nonnegativity Constraints

question 75

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; 3X + 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

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