Many maximum problems have an associated dual minimum problem. An imperfectly firm wishes to minimize the cost of producing a given level of output Q^0. Output is produced according to the production function: Q=(AK^1/2)(L^3/4)
Solve mathematically for the dual maximization problem for the imperfect competitive firm and demonstrate that the solution from the two models are identical. Provide second order conditions for the maximum. Show graphically.