a) Calculate the total load-distance value from each potential Wefixit location. Total load-distance value for Northwest of Loop Total load-distance value for South of Loop
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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?Problem 3: Regional Office Coordiantes (x,y) N Tampa Post Office must be relocated by other in a new location, much bigger and modern, to be able to absorb the huge mail flow. Ybor City -10,5 3 Davis Island -3,8 Dale-Mabry Given received and delivered mailing, is transported from regional offices to the central office, the new location can produce significant differences about the deliverance efficiency, as in terms of cost as time. Using the data represented in the attached table, calculate the location for the new facilities as the center of -4,7 Palma Cela -15,1 Bayshore -13,3 Temple Terrace -1,12 Hyde Park N = Number of delivery trucks per day -5,5 10 gravity.Problems 2 Helen Murvis, hospital administrator for Portland General Hospital, is trying to determine whether to build a large wing onto the existing hospital, a small wing, or no wing at all. If the population of Portland continues to grow, a large wing could return $150,000 to the hospital each year. If the small wing were built, it would return S$60,000 to the hospital each year if the population continues to grow. If the population of Portland remains the same, the hospital would encounter a loss of $85,000 if the large wing were built. Furthermore, a loss of $45,000 would be realized if the small wing were constructed and the population remains the same. Unfortunately, Helen does not have any information about the future population of Portland * Develop a decision table for this problem. * Determine the best decision using the following decision criteria 1. Мaximax 2. Маximin 3. Minimax Regret Hurwicz (use a coefficient of realism of 0.75) 5. Equal likelihood 6. Expected Value 7.…
- Explain the assumptions behind centre of gravity method and explain how the mode can be used in a service facility location ?1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.For example, a manager for Wal-Mart may have sufficient secondary data onincomes, family sizes, number of competitors, and growth potential to determine in which of five Iowa towns Wal-Mart wishes to locate its next store. And if traffic counts exist for the selected town, primary data will have to be gathered to select a specific site for the store. True False Which question should be posed in determining the accuracy of secondary data? A. What information was collected? B. What was the purpose of the study? C. Both a & b. D. Neither a nor b.
- The method for determining facility location which involves determining x and y co-ordinates of the proposed new location O a. Factor Rating Method O b. Locational Break-even Analysis O C. Transportation Method Od. Centroid MethodThe 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…Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.
- Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value: Multiple Choice will decrease by $450. is $0. will decrease by $2750. will remain the same. can only be discovered by resolving the problem.Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.Draw a…Given is a decision payoff table. Alternatives Small Facility Medium Facility Large Facility Low 26 18 -7 Future Demand Moderate 21 31 30 High 18 22 42 a) The best decision under uncertainty using MAXIMAX is to select Blank 1 facility b) The best decision under uncertainty using MAXIMIN is to select Blank 2 facility c) The best decision under uncertainty using LAPLACE/EQUALITY LIKELY is to select Blank 3 facility d) If the probabilities for Future Demand when it is Low-0.35, Moderate -0.30, and High-0.35, the expected monetary value (EMV) for the large facility-Blank 4.