Unformatted text preview: (e) An unbounded ndimensional polyhedral set can have at most n extreme directions. True or false? (f) What is the maximum (actual) dimension of X = { x : Ax = b,x ≥ } , where A is m × n of rank t , t ≤ m ≤ n ? (3) Consider the following table production problem. Table one can be sold at 10 per unit, which requires 2 units of wood one and 1 unit of wood two. Similarly, Table one can be sold at 14 per unit, which requires 1 units of wood one and 2 unit of wood two. There are three agents each of which controls a resource vector (2 , 4), (4 , 2) and (4 , 4) respectively. Describe the core of the resulting cooperative game. 1...
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 Fall '09
 XinChen
 Empty set, Euclidean space, unbounded ndimensional polyhedral, extreme directions

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