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Unformatted text preview: would it be desirable to buy some? Why? (h) (10) A new product with resource coecients ( 2 ) is proposed, where is an arbitrary constant. What must the objective coecient for this activity be in order that it be proFtable to produce some of the new product? Why is your answer independent of ? 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 suce 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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- Spring '08