Primal and dual LP problem: sensitivity analysis and multiple optima

Several linear programming problems available in the literature are solved by using Excel Solver. The solution of both the primal and the dual of the selected examples is considered. The obtained results have been compared. The aim of this paper is to determine the interconnection of data provided in Solver Answer and Sensitivity reports: shadow prices, reduced costs, objective coefficients and constraints right hand sides both for the primal and the dual of the presented problems. In particular, the problems of multiple optima and possibilities of their detection by analyzing data in the sensitivity reports for the primal and dual solutions of the selected problems were considered.