Potential locations A and B have the cost structure shown below for manufacturing a product expected to sell for $7/unit. Make use ofthe graphical analysis discussed in the class, and choose all options that are true. Let "x" denote the number of units producedCost details for locations A & BFixed cost ($)01200LocationABCheck All That ApplyIt x less than equal to 896, choose location AIf x=800 units, choose location BVariable cost ($/unit)12/73/8Ifx-1000, choose location B Check All That ApplyIt x less than equal to 896, choose location AIf x=800 units, choose location BIf x= 1000, choose location BIfx>1500, choose location B

LocationFixed Cost($)Variable Cost($/unit)A012/7 B12003/8 Selling Price = $7 per unitx = number of…

Answered: Potential locations A and B have the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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1. Using the center-of-gravity method, compute the centralized coordinates among the following locations, which are indicated via black cells with white text in LOCATION.xlsx: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 2. Using the weighted average center-of-gravity, which accounts for quantities to be shipped from locations, compute the centralized coordinates among the following locations: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 *Quantities to be shipped are listed within the existing locations (i.e. Location 7,1 ships 17 units) in LOCATION.xlsx
Location Fixed Cost Variable Cost A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 300 200 100 2 4 6 8 10 14 16 18 20 Q (000s of units) i. Plot the total cost curves in the chart provided above and identify the range over which each location would be best. ii. Use break-even analysis to calculate exactly the break-even quantity that defines each range.
Develop a network showing the origin nodes, destinations, arcs, cost per arc, supply, and demand. Match the correct answer to each question. Warehouse A B C D City E City F City G City H Warehouse Supply. 0.51 0.21 0.52 0.41 4000 Question 1 0.31 Question 2 0.56 0.43 0.35 0.41 0.28 City Demand 4,400 3,000 6,500 4,700 Match the correct answer to the following questions: 1. What is the supply constraint for Warehouse D? 2. What demand constraint for City H? 0.32 0.54 0.33 4000 0.54 0.34 0.52 6300 6000 [Choose ] [Choose ] > >
Which of the following techniques works for location analysis for both service/retail/professional organizations as well as goods-producing organizations? A. Transportation method B. Traffic counts C. Factor-rating method D. Demographic analysis of drawing area.
Consider this data for three potential locations A1, A2, and A3. factor weight A1 A2 A3 initial cost 100 150 140 traffic 12 40 40 30 maintenance 2 20 25 18 dock space 25 10 12 neighborhood 4 12 8 15 What is the composite score for the alternative "A2"? (Compute composite score as the sum of (weight times score) - i.e. you do not have to convert weights to add to one)
Populate the relevant data Is any alternative never preferred? Complete a numeric locational cost-volume Indicate over what range each of the alternatives A, B, C is the low-cost choice Costs A B C Fixed ($) 2,500,000 2,000,000 3,500,000 Variable ($ per unit) 20+6 23+6 15+6
b. An operations manager has narrowed down the search for a new King Kola plant to three locations. Fixed and variable costs follow. Location Fixed Cost Variable Cost A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 300 200 100 6 8 10 14 16 18 20 0 (000s of units) i. Plot the total cost curves in the chart provided above and identify the range over which each location would be best. ii. Use break-even analysis to calculate exactly the break-even quantity that defines each range.
ABC Ltd. Wants to choose the best location for its new aluminum plant. The manager ofproductions and operations has three possible locations to choose from. His assistantrecommends that he use break-even analysis location technique to help determine whichlocation is best based on costs. . If total fixed cost = 40000 AVC = 20 Price per unit = 10 Break even point = 40000 / 20 - 10= 4000 So at the 4000 units of production, there will be no profit and loss as the total revenue is equal to the total cost. Demonstrate to the OM manager how to go about choosing the best location using thenumerical example you designed above.
An operations manager has narrowed down the search for a new King Kola plant to three locations. Fixed and variable costs follow. Fixed Cost Variable Cost Location A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 i. ii. 300 200 100 2 4 6 8 10 14 16 18 20 Q (000s of units) Plot the total cost curves in the chart provided above and identify the range over which each location would be best. [7 marks] Use break-even analysis to calculate exactly the break-even quantity that defines each range. [3 marks]
A firm is considering three different locations in which to build a factory. The costs associated with each location are given below. Location A B C Fixed Costs 500 700 900 Variable costs per unit 10 6 4 2. What level of output will each location be preferred? 3. Write an equation to represent the costs for each location. 4. Use algebra to determine the crossover points
Dobb's Ltd Wants to choose the best location for its new aluminum plant. The manager ofproductions and operations has three possible locations to choose from. His assistantrecommends that he use break-even analysis location technique to help determine whichlocation is best based on costs. Assuming: Total fixed cost = 80,000 Price per unit= 20 AVC (Average variable cost) = 40 Break-even point= Total fixed cost / (AVC-Price per unit) Break-even point = 80,000/ (40-20) Break-even point = 4,000 1) Demonstrate to the OM manager using graph how to go about choosing the best location using thenumerical example designed above.
b. A food manufacturer wants to locate a warehouse to serve its major customers.The customers, annual volume and the X and Y coordinates are shown in thetable below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc. 25 3 7Zac Supermarket 13 5 2Harry Inc. 6 8 4Sky Productions 4 1 5 i. Using the centre of gravity location technique, determine the locationcoordinates that will minimize the transportation costs for their family ofproducts

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