(a) Define the terms: set, superset, subset, and cardinality. (b) Consider the f
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(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
A.
Set : A set is a collection of several objects, which could be distinct or similar but are identified as a separate object in its own right. And the objects contained in the set are called its elements.
Superset: A set 'A' is defined as a superset of another set 'B', if all the elements of the set B are also contained in A, but it is not necessary that all the elements of A are also in B. So A has all elements of B and so A is called a superset of B.
Subset: A set 'A' is defined as a subset of another set 'B', if all the elements of the set A are also contained in B, but it is not necessary that all the elements of B are also in A. So B has all elements of A and could have other elements and so A is called a subset of B.
Cardinality: The cardinality of a set is defined as the number of elements that are contained in the set. For example a set has {2,3,5} then the elements are 2,3,5 and there are 3 such elements. Hence the cardinality is 3.
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