Consider the Following Constraints from a Two-Variable Linear Program

question 32

Multiple Choice

Consider the following constraints from a two-variable Linear Program.
(1) X ≥ 0
(2) Y ≥ 0
(3) 10X + 4Y ≤ 110
(4) 5X - Y ≤ 40
If constraints (3) and (4) are binding, what is the optimal solution (X, Y) ?

• A) (11, 0)
• B) (0, 27.5)
• C) (0, -40)
• D) (9, 5)
• E) not enough information is provided to answer the problem

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