Sparkles washes cars in Lindenhurst. The production function for Sparkles is given by the following: 0.4 0.1 Q f L K L K ( , ) 10 where L represents man-hours, K represents machine hours and output Q is measured in cars washed per day. The price of an hour of labor is $16 and the price of an hour of machine time is $4. a) Given the input prices and the production function set up the cost minimization problem. Solve the cost minimization problem to determine the (compensated) factor demands for labor and machines. Use the factor demands to show that the cost of the least-cost input bundle 0.2Q2