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1. Consider the following constraints from a two-variable linear program.
(1) X 0(2) Y 0(3) X + Y 50
If the optimal corner point lies at the intersection of constraints (2) and (3), what is the optimal solution (X, Y)?
2. Consider the following project schedule:
Activity Immediate Time ES EF LS LFPredecessorA ------ 4 0 4 6 10B ------ 5 0 5 0 5C A 3 4 7 10 13D B 8 5 13 5 13E B 2 5 7 16 18F C,D 3 13 16 15 18G C,D 7 13 20 13 20H E,F 2 16 18 18 20
(a) Which activities are critical?(b) Which activity has the most slack?
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