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- Q1. A newly formed firm must decide on a plant location. There are two alternatives under consideration:locate near the major raw materials or locate near the major customers. Locating near the raw materials willresult in lower fixed and variable costs than locating near the market, but the owners believe there wouldbe a loss in sales volume because customers tend to favor local suppliers. Revenue per unit will be $185 ineither case. Using the following information, determine which location would produce the greater profit.Omaha Kansas CityAnnual fixed costs ($ millions) $1.2 $1.4Variable cost per unit $36 $47Expected annual demand (units) 8,000 12,000I have two marlets , Hilltor & Biztop, where I will be delivertrg 1 900ds 9oods. Hilltop is located at coordinates L2,0) ano I have 14 twckloads gorp to it. Biztop is lo cated at Coordinetes (16,14) and I have 7 truckloads goirg to it. Use an optimol method to find the location for building a ware house to the two marketi. Record the X Supply Coordinate of the optimal aarehouse location . Round to 2Decimali4. Spears Rowbuck has recorded the following sales figures. Calculate the seasonal indices for Thursday and Friday. Week 1 Week 2 Week 3 Week 4 Monday 43 51 40 66.0 Tuesday 45 41 57 58.6 Wednesday 22 37 30 34.7 Thursday 25 22 33 36.7 Friday 31 25 37 25.0 a. Thursday = 29.18, Friday = 29.50 b. Thursday = 0.2074, Friday = 1.1632 c. None of the other options. d. Thursday = 0.7678, Friday = 0.7763 e. Thursday = 0.6142, Friday = 0.6211
- Q Let us assume that a new medical facility, Health-care, is to be located in XYZ city. The location factors, factor rating and scores for two potential sites are shown in the following table. Which is the best location based on factor rating method? Sr Location factor Factor Rating Rating Location 1 Location 2 1 Facility utilization 10 5 4 2 Total patient per month 8 4 2 3 Average time per emergency trip 5 4 5 4 Land and construction costs 6 3 4 5 Employee preferences 7 4 4 6 Operations Facility 8 4 3Judd 57 Joel Gus Tim $3 2. 1 $5 $2 First film Second film Third film Fourth film Fifth film 1. 0. 0. 5. 2. 1 a. Within the dorm room, is Ux showing of a movie a public good? Why or why not? b. W itcosts S5 to rent a movic how many movies should the mommates rent to maximize tothl surplus? c. li they choose the optimal number from part (b)and then split the cost of renting the movies equally, how much surplus does.cach person obtain from wakhing the me d. s there any way tospl ost.tormsre that everyone benefits? What practical problems does this solution reise? Suppose they agmeinarancetochoxxe the efficient number and to split the cosr of the movies equally. When fudd is asked his wiling ness to pay, will he have an incentive to toll the Iruth? If so, why? f not. what will he he tempted (1అ) బ* E What does this example teach you abou the optimal provision of public goods? yol public gods?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.
- Problem 03 Complying with all, government housing regulations and requirements, the employees union of a certain firm has the option to purchase either of two sites, each having an area of 18 hectares (180,000 sq.m.) of undeveloped land. The first singly owned, would cost Php20.00 a sq.m, but would needa roadway system, including the access road, 4,000 meters long, at a cost of Php 110.00 per meter. Additional development expenses would be Php 60,000 to subdivide and grade into 320 house löts, and another Php 32,000 for a hollow block fence and security gates. The second site consists of three lots, separately owned, with a total area of 18 hectares: 7 hectares at Php 25.00 a sq.m. 5 hectares at Php 21.00 a sq.m and 6 hectares at Php 14.00 a sq.m. The road system for this would be only 3,200 meters long at Php 100.00 per meter, but needs two box culverts each costing Php 25.000.00. Lot grading would be Php 35,000; fencing and security 8atës Phip 24,000. Assuming that all…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?Referring to Exhibit 1, what is the optimal objective function value for this problem? 500 O 300 800 O It cannot be determined from the given information.
- 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 ofproducts2. Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table. When rating these locations, GFR used a 5- point scale, where 1 means unfavorable and 5 means excellent. (Noteshaper Scenario #26) Factor Weight Location 1 Location 2 Location 3 Cost of land 0.5 4 1 Accessibility 0.3 2 2 4 Size of Land 0.2 1 3 3 a. Which of the following statements are true and which are false? I. The cost of the available land parcel is of the greatest importance in this analysis. I. Location 2 has better accessibility than location 3. GFR considers the size of the available land parcel to be the least important III. factor.The 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…