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) 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)



Answer: c


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