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...Using mathematics to solve real world problems abstract in this paper study the applications of linear programming big m method business first we mention construct model lp secondly slack variables surplus artificial and modified problem then by maximization minimization life key words l p introduction an algebraic solving standard form a which allows solution multivariable objectives examined relationships between quality people cognitive functioning both is said be if its mathematical following maximize objective function subject constraints with non negative adopt matrix methods used simplex process convert constraint inequalities into system equations simple device called variable particular from add left sides obtain are because each makes up difference take right introduce through mixed parts will summarized applied more complex consider equation out inequality as before write how can second subtract it side so that amount exceeds now express shown basic not feasible any excludin...