no 1: Theoretically and mathematical prove that the slope of isoquant curve is equal to the ratio of marginal productivities of inputs with detailed stepwise method? Q.No.5. Shortly find the mathematical expression of Lagrangian multiplier of "constrained revenue maximization", "constrained output maximization" and "cost minimization subject to revenue constraint" then find the mathematical expression of: (Marks6) (a) relationship between Lagrangian multiplier of "constrained revenue maximization" and "constrained output maximization" (b) relationship between Lagrangian multiplier of "constrained revenue maximization" and "cost minimization subject to revenue constraint