Microeconomics Questions

Problem 1 Suppose Noah and Naomi's weekly production function for garden benches is F(L) = (3/2)L, where L represents the number of hours of labor employed. The wage rate is $15 an hour. What is their cost function? Problem 5 Suppose that the production function for Hannah and Sam's home remodeling business is Q = F(L, K) = 10102KO3. If the wage rate is $1,500 per week and the cost of renting a unit of capital is $1,000 per week, what is the least-cost input combination for remodeling 100 square feet each week? What is the total cost? Problem 16 Noah and Naomi want to produce 100 garden benches per week in two production plants. The cost functions at the two plants are (1(Q1) = 600Q1 - 301? and (2(Q2) = 650Q2 - 2Q2?, and the corresponding marginal costs are MC1 = 600 - 601 and MC2 = 650 - 402. What is the best assignment of output between the two plants