The total weekly cost of fringe benefits of dynamo productions. They employ 250 workers with gross payroll of $ 123 , 400 per week with fringe benefits are 5 % of gross payroll for sick days and holiday leave 8 % for health insurance and $ 12.40 per employee for dental insurance.

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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…

Answer 1

Question

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

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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 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

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Answer 3

Question

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

Expert Solution & Answer

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Answer 4

Question

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

Expert Solution & Answer

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Answer 5

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

Answer 6

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

Answer 7

Chapter 9.III, Problem 16TIE

(a)

To determine

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

Answer 8

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

Answer 9

(b)

To determine

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

Answer 10

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

Answer 11

(c)

To determine

To calculate: The cost of fringe benefit $19,142 for one year.

Answer 12

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The total weekly cost of fringe benefits of dynamo productions. They employ 250 workers with gross payroll of $ 123 , 400 per week with fringe benefits are 5 % of gross payroll for sick days and holiday leave 8 % for health insurance and $ 12.40 per employee for dental insurance.

Solution Summary: The author calculates the total weekly cost of fringe benefits of dynamo productions.

Concept explainers

Videos

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

To calculate: The cost of fringe benefit $19,142 for one year.

Chapter 9 Solutions

The total weekly cost of fringe benefits of dynamo productions. They employ 250 workers with gross payroll of $ 123 , 400 per week with fringe benefits are 5 % of gross payroll for sick days and holiday leave 8 % for health insurance and $ 12.40 per employee for dental insurance.

Solution Summary: The author calculates the total weekly cost of fringe benefits of dynamo productions.

Concept explainers

Videos

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250 workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental insurance.

To calculate: The percentage of payroll $123,400 the fringe benefit $19,142 represent.

To calculate: The cost of fringe benefit $19,142 for one year.

Chapter 9 Solutions

To calculate: The total weekly cost of fringe benefits of dynamo productions. They employ 250

workers with gross payroll of $123,400 per week with fringe benefits are 5% of gross payroll

for sick days and holiday leave 8% for health insurance and $12.40 per employee for dental

insurance.