If constraints (3) and (4) are binding, what is the optimal solution (X, Y)?

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



Answer: d


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