A Concise Intro To Logic
12th Edition
ISBN: 9781305147775
Author: Hurley
Publisher: Cengage
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A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table.
State
A
B
C
D
Total
Population (in thousands)
104
208
392
496
1200
According to the country's constitution, the congress will have
30
seats, divided among the four states according to their respective populations. Use Hamilton's method to find each state's apportionment of congressional seats.
State
A
B
C
D
Total
Population
104
208
392
496
1200
Allocated seats
?
5
?
?
30
(Type an integer in each box. One of them has been done for you.)
A person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown.
Columbus
Great Falls
Odessa
Brownsville
Columbus
---
102
79
56
Great Falls
102
---
47
69
Odessa
79
47
---
72
Brownsville
56
69
72
---
a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each
b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.
Use the graphical method to solve the following problem:
max Z = 2x1 + x2
subject to:
6x1 + x2 ≤ 55
4x1 + 5x2 ≥ 80
x1 + x2 ≤ 30
x2 ≤ 20
x1, x2 ≥ 0
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