Unformatted text preview: would it be desirable to buy some? Why? (h) (10) A new product with resource coe²cients ( 2 α ) is proposed, where α is an arbitrary constant. What must the objective coe²cient for this activity be in order that it be proFtable to produce some of the new product? Why is your answer independent of α ? 2. (a) (10) Give brief (but precise) mathematical deFnitions for: a convex set; an extreme point; a basic feasible solution. (b) (25) Suppose S and T are convex sets with S ⊆ T and x is a point which is in both S and T . ±or the following statements either prove valid or demonstrate false by example (a diagram will su²ce to show false): (i) If x is an extreme point of S , then x is also an extreme point of T . (ii) If x is an extreme point of T , then x is also an extreme point of S ....
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This note was uploaded on 10/04/2010 for the course ORIE 3300 taught by Professor Todd during the Spring '08 term at Cornell.
 Spring '08
 TODD

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