A district with a modified quota that goes _ more quickly is __ likely to get another seat.

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Answer 1

Question

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

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Suppose we have a linear program in standard equation form maximize c'x subject to Ax=b, x≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.

(a) For the following linear programme, sketch the feasible region and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution and give the objective value for this solution. maximize +22 subject to 1 + 2x2 ≤ 4, 1 +3x2 ≤ 12, x1, x2 ≥0 (b) For the following linear programme, sketch the feasible region and the direction of the objective function. Explain, making reference to your sketch, why this linear programme is unbounded. maximize ₁+%2 subject to -2x1 + x2 ≤ 4, x1 - 2x2 ≤4, x1 + x2 ≥ 7, x1,x20 Give any feasible solution to the linear programme for which the objective value is 40 (you do not need to justify your answer).

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Answer 2

Question

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

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Answer 3

Question

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

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Answer 4

Question

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

Expert Solution & Answer

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Answer 5

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

Answer 6

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

Answer 7

Chapter 12.4, Problem 39E

(a)

To determine

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

Answer 8

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

Answer 9

(b)

To determine

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTO Ch. 12.1 - Prob. 4TTO Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election? Ch. 12.1 - Prob. 6E

A district with a modified quota that goes _ more quickly is __ likely to get another seat.

Solution Summary: The author explains how lower quotas help to obtain the initial assignment, and the standard divisor is lowered to increase the sum to the total number of seats.

Concept explainers

Videos

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7

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Chapter 12 Solutions

A district with a modified quota that goes ___________ more quickly is ____________ likely to get another seat.

Solution Summary: The author explains how lower quotas help to obtain the initial assignment, and the standard divisor is lowered to increase the sum to the total number of seats.

Concept explainers

Videos

To fill: A district with a modified quota that goes ___________ more quickly is ____________ likely to get another seat.

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor. Population 20 40 60 80 Divisor 2.5 Divisor 2.3 Divisor 2.7

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Chapter 12 Solutions

A district with a modified quota that goes _ more quickly is __ likely to get another seat.

To fill: A district with a modified quota that goes _ more quickly is __ likely to get another seat.

To fill: The below table and decide if a large or small district is more likely to have its modified quota change a lot when modifying the divisor.

Population 20 40 60 80
Divisor 2.5
Divisor 2.3
Divisor 2.7