Location problem in the plane, Managerial Economics

Location problem in the plane:

In Kent, the council to respond to the people and government needs, it decided to establish 3 community care homes. The towns are recorded with their corresponding x and y coordinates as well as their population, see Table 1.

(i)Use Excel to solve this location problem in the plane. (Hint: As the problem is not convex and not linear, you cannot use the Simplex but the other 2 approaches shown in Solver (Evolutionary approach and GRG Non Linear)). Also you may need to use several starting points as poor local minima may be found instead, Try both approaches before you finalise your decision and comment on the way you attempted it.

(ii) What do you expect the solution quality will be if you had to solve the discrete version of the problem using all the town locations as potential sites? Which weaknesses you may be faced with when implementing the optimal solution of (i) if it exists.

(iii) Now consider that any facility built cannot serve more than 350000 in total. Use the locations found in (i) and determine the new allocation (This is now a TP which can be solved using Simplex LP in solver). Express in % the extra cost incurred due to such a restriction.

TOWN/CITY

X

Y

POPULATION

Ashford

600985

142805

58,178

Broadstairs

639320

167760

24,370

Canterbury

614880

157830

42,249

Chatham

575785

167920

70,540

Dartford

554200

174325

50,000

Deal

637510

152745

29,248

Dover

631650

141835

39,078

Faversham

601530

161425

18,000

Folkestone

622765

135915

53,411

Gillingham

577350

168385

99,773

Gravesend

564730

174170

51,150

Herne Bay

617900

167945

31,000

Maidstone

576150

155705

75,000

Margate

635460

170580

58,465

Northfleet

562235

174310

13,590

Ramsgate

638365

165180

37,967

Rochester

574375

168475

25,000

Royal Tunbridge Wells

558360

139265

45,000

Sevenoaks

552375

155295

18,588

Sheerness

591955

174725

20,000

Sittingbourne

590740

163660

55,000

Tonbridge

559080

146600

31,600

Table 1: Coordinates and population of Kent Towns

Posted Date: 2/12/2013 12:30:09 AM | Location : United States







Related Discussions:- Location problem in the plane, Assignment Help, Ask Question on Location problem in the plane, Get Answer, Expert's Help, Location problem in the plane Discussions

Write discussion on Location problem in the plane
Your posts are moderated
Related Questions

#question.Constraints of Marris’ Growth Maximisation Model

Short-Term Policies Deflation is a policy of reducing expenditure with the intention of curing a deficit by reducing the demand for imports.  This reduction of expenditure m

distinguish between industry demand and firm demand..

THE COMPANY WOULD TO INCREASE THE PRICE OF STEEL IT SELLS BY 6% THE MANAGEMENT FORECAST ED THAT INCOME WILL RISE BY 4% NEXT YEAR AND THAT PRICE OF ALUMINIUM WILL FALL BY 2%. IF THE

Question: a. What are the basic attributes in designing a good tax system? b. Explain briefly how tax systems affect economic efficiency. c. The trade unionists advocat


williamson''s model describe

Utility Utility is the amount of satisfaction derived from the consumption of a commodity or service at a particular time.  Utility is not inherent but a psychological satisfa

When is production profitable according to price-taking firm at profit, break-even or loss? Production profitable at profit, break-even or loss: a. When TR > TC, in that cas