Location problem in the plane, Managerial Economics

Assignment Help:

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


Related Discussions:- Location problem in the plane

Will you make any profits in the short run, Problem 1: Using relevant e...

Problem 1: Using relevant examples, discuss the pricing strategies that firms can use to capture value from their customers. Problem 2: You are a manager in a perfectl

Types of budgets, TYPES OF BUDGETS 1.     Deficit budget   If th...

TYPES OF BUDGETS 1.     Deficit budget   If the proposed expenditure is greater than the planned revenue from taxation and miscellaneous receipts, this is a budget defic

Simon satisfying behaviour model, Q. Simon satisfying behaviour model? ...

Q. Simon satisfying behaviour model? The behavioural approach as developed in particular by Richard Cyert and James G. March of the Carnegie School, lays emphasis on explaining

Functions of central bank , FUNCTIONS OF CENTRAL BANK Economists and f...

FUNCTIONS OF CENTRAL BANK Economists and financial experts lack in unanimity about the functions of a central bank. According to Kisch and Elkin, the essential function of a c

International trade, INTERNATIONAL TRADE Definition It is the exc...

INTERNATIONAL TRADE Definition It is the exchange of goods and services between one country and another.  International Trade can be in goods, termed visibles or in servi

Approaches to measuring national income, APPROACHES TO MEASURING NATIONAL I...

APPROACHES TO MEASURING NATIONAL INCOME The compilation of national income statistics is a very laborious task.  The total wealth of a nation has to be added up and there are

Shift in the supply curve, Shifts in the supply curve Shifts in the su...

Shifts in the supply curve Shifts in the supply curve are brought about by changes in factors other than the price of the commodity. A shift in supply is indicated by an entir

Determine the application of managerial economics, Determine the Applicatio...

Determine the Application of managerial economics Application of managerial economics isn't restricted to profit-seeking business organisations. Tools of managerial economics

Digressive tax, DIGRESSIVE TAX A tax is called digressive when the hig...

DIGRESSIVE TAX A tax is called digressive when the higher incomes do not make a due contribution or when the burden imposed on them is relatively less. Another way in which

Marginal revenue, Marginal Revenue Marginal revenue is the additional r...

Marginal Revenue Marginal revenue is the additional revenue an organization receives resulting from the sale of one more item of output. Marginal revenue is calculated by takin

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd