(a) Define the terms: set, superset, subset, and cardinality. (b) Consider the f
ID: 383108 • Letter: #
Question
(a) Define the terms: set, superset, subset, and cardinality. (b) Consider the following linear programming model: max5x + 12y s.t. 5x +8y s 22Constraint A 3x + 4y s 18 Constraint B You discover that the shadow price for Constraint A is 1.5 and the shadow price for Constraint B is 0. Mark each of the following as true or false. a. Constraint B is a binding constraint. b. The shadow price for constraint B is valid for any amount of increase in its right- hand side value. c. Constraint A has 1.5 units of slack d. You can increase the right-hand side of Constraint A by 1.5 without changing the optimal objective function value. (c) On average, Delta mishandles 2.10 bags for every 1000 passengers. We'll assume the probability that Delta mishandles each bag is independent and each passenger has one bag. If you randomly sample 3 people who flew on Delta yesterday, what's the probability that exactly 2 of them had a mishandled bag?Explanation / Answer
B
Shadow price is the price when the RHS of the constraint is increased by 1
So
A.: False, as B is not binding, even with increase in 1 unit of RHS, the shadow price is 0.
B. True, as this is not an integer programming, so with increase in RHS, the objective fucntion does not increase.
C.False. No, there is no slack relation to shadow price.
D False, there is no such relationship. (Wrong defination)
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