Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Vandelay Industries has 275 sales reps in order to sell its latex products, each to be assigned to one of four marketing teams. If the first team is to have four times as many members as the second team and the third team is to have five times as many members as the fourth team, how can the members be distributed among the teams?
Problem 1: Consider the following knowledge base.If a student's CGPA is < 2.00, the student is on academic probation. All students who are on academic probation must meet their academic advisors before they can register. There is only one academic advisor for MBA students, Professor. Rose is an MBA student and Rose has a CGPA < 2.00. Rose must register for the semester.
Answer the following questions.
Represent the above knowledge base using FOL.
Use the resolution algorithm to show that Rose must meet Professor.
Correct answer will be upvoted else downvoted.
Let C={c1,c2,… ,cm} (c1<c2<… <cm) be the arrangement of individuals who hold cardboards of 'C'. Let P={p1,p2,… ,pk} (p1<p2<… <pk) be the arrangement of individuals who hold cardboards of 'P'. The photograph is acceptable if and provided that it fulfills the accompanying requirements:
C∪P={1,2,… ,n}
C∩P=∅.
ci−ci−1≤ci+1−ci(1<i<m).
pi−pi−1≥pi+1−pi(1<i<k).
Given a cluster a1,… ,an, kindly track down the number of good photographs fulfilling the accompanying condition:
∑x∈Cax<∑y∈Pay.
The appropriate response can be huge, so output it modulo 998244353. Two photographs are unique if and provided that there exists no less than one individual who holds a cardboard of 'C' in one photograph yet holds a cardboard of 'P' in the other.
Input
Each test contains numerous experiments. The main line contains the number of experiments t (1≤t≤200000). Depiction of the experiments follows.
The…
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Introduction to mathematical programming
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