#$Ä(Z9¤ÍÎA¨X¨D¤JÊA¤ÉÊAIÊAIÍZ¤A1ÊÒØÔÓÙS¨@@€  @****************›** SIMPLEX **›****************› +&&€;@,‡;@,Œ;@, $!  ÌÉÎÅÁÒ ÐÒÏÇÒÁÍÍÉÎÇ$ ,, $LINEAR PROGRAMMING IS A MATHEMATICAL++ #TOOL DESIGNED TO HELP MANAGEMENT TO-- %MAKE OPTIMUM USE OF COMPETING RESOUR-++ #CES. IT IS A VERY POPULAR TECHNIQUE((  AND INVOLVES LINEAR INEQUALITIES '' CALLED CONSTRAINTS AND A LINEAR#** "OBJECTIVE FUNCTION WHICH WE TRY TO%,, $MAXIMIZE OR MINIMIZE. THE INTERESTED(** "USER MAY CONSULT ANY INTRODUCTORY *,, $TEXT IN FINITE MATHEMATICS FOR ADDI-- TIONAL INFORMATION./( ( THE NUMBERS OF VARIABLES AND 2'' CONSTRAINTS ARE ONLY LIMITED BY4** "AVAILABLE MEMORY BUT MANY VARIABLE7-- %PROBLEMS MAY TAKE A LONG TIME TO RUN.Z% ! PRESS ÒÅÔÕÒÎ TO BEGIN%€d +í8 A* NUMBER OF VARIABLES .8 Bò8 A* NUMBER OF CONSTRAINTS .‚8 Bó::ƒ9‚%@<‚%%@,„9%‚%@,…;%@,ô†-@õ1" NAME OF VARIABLE † IS&‡16…7†<†,.‡ö †÷SETTING UP MATRIX TABLEAU›øYˆ-@‚%@1‰-@‚%%@B6ƒ8ˆ<‰,-Q6„8ˆ,-U ‰Y ˆüˆ-@‚%@ý þ"  CONTSTRAINT ˆ&@" ÿ‰-@6‡.…7‰<‰,Q A$4 COEFFIEIENT FOR VARIABLE ‡ IS8ŠC6ƒ8ˆ<‰,-ŠG ‰Q Bg A%F 3ENTER 1 IF <= CONSTRAINT,-1 IF >= CONSTRAINTJ‹]6ƒ8ˆ<%@,-‹g BP A'/ ENTER AMOUNT FOR CONSTRAINT 3‹F6ƒ8ˆ<%@,-‹P B>%6ƒ8ˆ<‚%%@,-ƒ8ˆ<%@,>6ƒ8ˆ<%@,- Jˆ!@16ƒ8ˆ<%ˆ&@,-ƒ8ˆ<%@,J6ƒ8ˆ<%@,-     ˆ   >: 1PRESS Y IF A MINIMIZATION PROBLEM, OTHERWISE N>Œ,Œ0Y*Œ0N"  ÉÎÐÕÔ ÅÒÒÏÒ¡, AC96 .ENTER COEFFICIENTS FOR OBJECTIVE FUNCTION9 ‰-@? AG6‡.…7‰<‰,? COEFFICIENT FOR VARIABLE ‡ ISA6ƒ8@<‰,-'6„8‰,-@+ ‰76Ž-@A B: Œ4N‰-@66ƒ8@<‰,-6ƒ8@<‰,: ‰)ˆ-@‚%@.)ƒ8ˆ<%ˆ&@,6@) A…/8ƒ8ˆ<%ˆ&@,"6@86„8%ˆ&@,-@3>‰-@‚%:6ƒ8‚%@<‰,-ƒ8‚%@<‰,&ƒ8ˆ<‰,> ‰86Ž-‚%@= ˆB6‘-@6-@G)ˆ-@‚%#ƒ8Ž<ˆ,ƒ8Ž<‘,)6‘-ˆLƒ8Ž<ˆ,ƒ8Ž<,AQ 6-ˆV ˆ`ƒ8Ž<,  A@bŽ"@Ajƒ8Ž<‘,!>A€l6Ž-@ At6‘-@~4ˆ-@‚%@*ƒ8ˆ<,4 Aˆ36’-ƒ8ˆ<‚%%@,'ƒ8ˆ<,3‘"@A€’)’ƒ8‘<‚%%@,'ƒ8‘<,) Aœ 6‘-ˆ¦ ˆ°‘"@Aº*ˆ-@‚%*„8ˆ,"@A ¿ƒ8‘<ˆ,"@A0Ä ˆÎ,6„8ˆ,-@!6„8,-,6’-ƒ8‘<,Ø1ˆ-@‚%%@-6ƒ8‘<ˆ,-ƒ8‘<ˆ,'’1 ˆâˆ-@‚%@ä ˆ"‘ Apç6’-ƒ8ˆ<,ì8‰-@‚%%@46ƒ8ˆ<‰,-ƒ8ˆ<‰,&’$ƒ8‘<‰,8 ‰ö ˆû A  NO SOLUTION&  UNBOUNDED SOLUTION &‰-@+„8‰,!6„8‰,-+ A@(.ˆ-@‚%@*ƒ8ˆ<‰,@. ˆ26„8‰,-ƒ8ˆ<‚%%@,< ‰F-6’-ƒ8@<‚%%@,&Œ4Y-6’-6’PPRINT OUT SOLUTION›U2 +2 VALUE OF OBJECTIVE FUNCTION = ’X Zˆ-@\6‡.…7ˆ<ˆ,_&&  AMOUNT OF ‡ I.E. X(ˆ)a  EQUALS „8ˆ,d ˆ€ D:SIMPLEX