Management and Cost Accounting, 6 th edition, ISBN 1-84480-028-8 © 2004 Colin Drury MANAGEMENT AND COST ACCOUNTING SIXTH EDITION COLIN DRURY.

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Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury MANAGEMENT AND COST ACCOUNTING SIXTH EDITION COLIN DRURY

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury © 2000 Colin Drury Part Six: The application of quantitative methods to management accounting Chapter Twenty-six: The application of linear programming to management accounting

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.1a © 2000 Colin Drury Linear programming

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.1b © 2000 Colin Drury Example contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.2 © 2000 Colin Drury Materials constraint (8Y + 4Z  3,440 (When Y= 0, Z = 860; when Z= 0, Y = 430

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.3 © 2000 Colin Drury Labour constraint 6Y + 8Z  2,880 (When Z = 0, Y = 480; When Y = 0, Z =360)

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.4 © 2000 Colin Drury Machine capacity constraint 4Y + 6Z  2,760 (When Z = 0, Y = 690; when y = 0, Z = 460)

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.5 © 2000 Colin Drury Sales limitation Y  420

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.6 © 2000 Colin Drury Optimum solution Feasible production combination = Area ABCDE

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.7 © 2000 Colin Drury Optimum solution

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.8a © 2000 Colin Drury Simplex method

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.8b © 2000 Colin Drury Simplex method contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.9 © 2000 Colin Drury Simplex method contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury © 2000 Colin Drury Simplex method contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.11a © 2000 Colin Drury Simplex method contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.11b © 2000 Colin Drury Simplex method contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.12a © 2000 Colin Drury Capital rationing

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury 26.12b © 2000 Colin Drury Capital rationing contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury © 2000 Colin Drury Capital rationing contd.

Management and Cost Accounting, 6 th edition, ISBN © 2004 Colin Drury © 2000 Colin Drury Assumptions underlying LP 1.Linearity 2.Divisibility of products 3.Divisibility of resources 4.All of the available opportunities can be included in the model 5.Assumed fixed costs are constant for the period