(a): Define the following terms: Management Science, Feasible region, Feasible Solution, Optimal Solution, Constraints, Extreme point, Objective function, Deterministic Model, Stochastic model and Sensitive analysis. (b): Find the Range of Optimality for c1 and c2 of the following LPP.     Max z =   5x1 + 10x2                                s.t.,          2x1 + 3x2    <   25                                               x1 +  2 x2     <   35                                     and  x1, x2  >

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