In: Advanced Math
4. Suppose that the price per unit of input K is 1 euro, the price per unit of input C is 12 euros and the price per unit of input L is 3 euros a) What is the minimum cost of producing 40 units of output y for the firm if the firm’s production function is Y =min {K;4C}+ L/2 ?
The Government is planning a policy, which envisages simultaneously the following two policies: 1)
introduction of a tax of 1 euro per unit of input L, and 2) introduction of a subsidy of 2 euros per unit of
input C. Find and explain briefly, how would the planned policy affect this firm. Would it affect the
minimum cost of production of 40 units of output? Would it affect the technology used? Provide
calculations for proof.