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FORMULATION OF L.P.P

                  FORMULATION OF L.P.P Formulation consists of the following four steps: Step:1 Identity the variables (which are also called decision variables) Step:2 write down the objective function to be optimized (maximized or minimized) as a  linear function of the decision variables after identifying the cost co-efficient. Step:3 Note down the constraints on the basis of the conditions regarding availability of  time , demand for the product, etc. constants aij’s and bi’s are involved. Step:4 Mention the non negative restrictions which imply that the decision variables can  not be negative. Example: 1 A company makes three products X, Y and Z which pass through three Departments: drill, lathe and assembly. The hours available in each department, hours required By each product in each department and profit contribution of each product are given below: Time required in hours  Product Drill Lathe Assembly Profit per ...
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1th B.Com

1th B.Com Unit 1 Cartesian product Cartesian Product of Sets The Cartesian products of sets mean the product of two non-empty sets in an ordered way. Or, in other  words , the collection of all ordered pairs obtained by the product of two non-empty sets. An ordered pair means that two elements are taken from each  set . For two non-empty sets (say A & B), the first element of the pair is from one set A and the second element is taken from the second set B. The collection of all such pairs gives us a Cartesian product. The Cartesian product of two non-empty sets A and B is denoted by A × B. Also, known as the cross-product or the product set of A and B. The ordered pairs (a, b) is such that a ∈ A and b ∈ B. So, A × B = {(a,b): a ∈ A, b ∈ B}. For example, Consider two non-empty sets A = {a 1 , a 2 , a 3 } and B = {b 1 , b 2 , b 3 } Cartesian product A×B = {(a 1 ,b 1 ), (a 1 ,b 2 ), (a 1 ,b 3 ), ( a 2 ,b 1 ), (a 2 ,b 2 ),(a 2, b 3 ), (a 3 ,b...
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