Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) (200,100) (300,100) Deliveries per day A 9 B (300,300) a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location yields the smallest load-distance score of | - (Enter your response rounded to one decimal place.) o57
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- Dennison Manufacturing makes large helical springs used inaircraft landing gear. The company has narrowed its potentialchoices for its new manufacturing facility to four cities. Thefollowing information is known about the manufacturing andshipping costs of locating in each of these four cities: a. Use break-even point analysis to determine where Den-nison should locate.b. Based solely on break-even quantity, if Dennison’s manu-facturing forecast for the foreseeable future is 40,000 unitsannually, where should he locate?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.xlsxLocation 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.
- Explain the a ssumptions behind the center-of-gravity method. How can the model be used in a service facility location?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.Discuss briefly what is location service facilities?
- Unisng the information provided in the photo attached, 1. demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance. SHOW ALL WORKINGProblem 8-9 (Static) Location Score Factor (100 points each) Weight A B Convenience 0.15 80 70 Parking facilities 0.20 72 76 Display area 0.18 88 90 90 Shopper traffic 0.27 94 86 Operating costs 0.10 98 90 Neighborhood 0.10 96 85 182820 C 60 92 80 82 75 1.00 Click here for the Excel Data File a. Using the above factor ratings, calculate the composite score for each location. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Location Composite Score A B 0The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 350x1 + 425x2 + 425x3+ 465x4 + 485x5 + 365x6 s.t. x1 + x2 + x5 + X6 2 1 (Residence Hall A constraint) x1 + x2 + X3 2 1 {Residence Hall B constraint) X4 + X5 + X6 2 1(Science building constraint) X1 + X4 + X5 2 1{Music building constraint} x2 + x3 + X4 2 1{Math building constraint} x3 + X4 + X5 2 1{Business building constraint} x2 + x5 + X6 2 1{Auditorium…