Consider the Following Constraints from a Two-Variable Linear Program

question 87

Multiple Choice

Consider the following constraints from a two-variable Linear Program.
(1) X ≥ 0
(2) Y ≥ 0
(3) X + Y ≤ 20
(4) 2X + 5Y ≤ 70
If constraints (3) and (4) are binding, what is the optimal solution (X, Y) ?

• A) (0, 20)
• B) (20, 0)
• C) (10, 10)
• D) (0, 14)
• E) (35, 0)

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