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...Lliinneeaarr pprroobblleemm llpp rajib bhattacharjya department of civil engineering iit guwahati linear programming it is an optimization method applicable for the solution problem where objective function and constraints are was first applied in by economist mainly solving resource allocation during world war ii us air force sought more effective procedure resources george b dantzig a member formulate general devised known as simplex iitg ce considered revolutionary development that helps obtaining optimal decision complex situation some great contributions kuhn tucker duality theory lp charnesand cooper industrial application karmarkar smethod nobel prize awarded contribution related to economics jointly l v kantorovich former soviet union t c koopmans usa on economic standard form minimize subject...