Suppose there is a firm with a 2-input production function Y = (LP+KP) that needs to choose the cheapest bundle of labor L and capital K for a given level of output Y. Wage is w, rent is r. 1. Formulate the cost minimization problem and set up the Lagrangian. (10 points) 2. Use the Lagrangian method to find the cost minimizing levels of capital and labor. (10 points) 3. What is the marginal cost of producing one more unit of output? (10 bonus points) She 13.3