Interpret the Lagrange multipliers which would be associated with the constraints in the following optimization problems: (a) A central planner in a developing country wishes to maximize GNP, subject...

Interpret the Lagrange multipliers which would be associated with the constraints in the following optimization problems: (a) A central planner in a developing country wishes to maximize GNP, subject to the constraints that the balance of payments deficit may not exceed a given figure, and that a fixed amount of skilled labour is available. (b) A firm wishes to choose a set of investment projects which maximize its profitability, subject to the constraint that the total amount it spends on investment does not exceed a fixed amount of funds available.