To apportion the congressional seats to the states, using Hamilton’s method.

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Answer 1

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Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

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The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let y₁ = 1 if a plant is constructed in Detroit; 0 if not y₂ = 1 if a plant is constructed in Toledo; 0 if not y₂ = 1 if a plant is constructed in Denver; 0 if not y = 1 if a plant is constructed in Kansas City; 0 if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. *,, = the units shipped in thousands from plant i to distribution center j i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…

Consider the following mixed-integer linear program. Max 3x1 + 4x2 s.t. 4x1 + 7x2 ≤ 28 8x1 + 5x2 ≤ 40 x1, x2 ≥ and x1 integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph. The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0). The region is above the horizontal axis, to the right of the vertical axis, and below the line segments. At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…

Consider the nonlinear optimization model stated below. Min s.t. 2x²-18x + 2XY + y² - 14Y + 53 x + 4Y ≤ 8 (a) Find the minimum solution to this problem. |at (X, Y) = (b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is| , so the actual change is a decrease of rather than what we expected in part (b).

Answer 2

Question

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

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Answer 3

Question

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

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Answer 4

Question

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

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Answer 5

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

Answer 6

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

Answer 7

Chapter 13.4, Problem 11E

(a)

To determine

To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

Answer 8

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

Answer 9

(b)

To determine

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 13.1 - CHECK POINT 1 Four candidates are running for...Ch. 13.1 - CHECK POINT 2 Table 13.2 on page 841 shows the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - CHECK POINT 5 Table 13.2 on page 841 shows the...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...

To apportion the congressional seats to the states, using Hamilton’s method.

Solution Summary: The author explains how to calculate the new states paradox that occurs when the congressional seats are reapportioned with state C.

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To calculate: To apportion the congressional seats to the states, using Hamilton’s method.

To calculate: The new states paradox that occurs when the congressional seats are reapportioned with state C, using Hamilton’s method.

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