LINEAR PROGRAMMING LINEAR PROGRAMMING IS A MATHEMATICAL TOOL DESIGNED TO HELP MANAGEMENT TO MAKE OPTIMUM USE OF COMPETING RESOURCES. 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 ADDITIONAL INFORMATION. THE NUMBERS OF VARIABLES AND CONSTRAINTS ARE ONLY LIMITED BY AVAILABLE MEMORY BUT MANY VARIABLE PROBLEMS MAY TAKE A LONG TIME TO RUN. PRESS ENTER TO BEGIN? NUMBER OF VARIABLES ? 2 NUMBER OF CONSTRAINTS ? 1 NAME OF VARIABLE 1 IS ? X NAME OF VARIABLE 2 IS ? Y CONSTRAINT 1 COEFFICIENT FOR VARIABLE 1 X IS ? 1.234 COEFFICIENT FOR VARIABLE 2 Y IS ? 5.6789 ENTER 1 IF <= CONSTRAINT, -1 IF >= CONSTRAINT ? 1 ENTER AMOUNT FOR CONSTRAINT ? 9.876 PRESS Y IF A MINIMIZATION PROBLEM, OTHERWISE N? N ENTER COEFFICIENTS FOR OBJECTIVE FUNCTION COEFFICIENT FOR VARIABLE 1 X IS ? 1.111 COEFFICIENT FOR VARIABLE 2 Y IS ? 2.222 VALUE OF OBJECTIVE FUNCTION = 0 AMOUNT OF X I.E. X( 1 ) = 0 AMOUNT OF Y I.E. X( 2 ) = 0