You operate a car detailing business with a fixed amount of…

You operate a car detailing business with a fixed amount of machinery (capital), but you have recently altered the number of workers that you employ per hour. Three employees can generate an average product of 4 cars per person in each hour, and five employees can generate an average product of 3 cars per person in each hour. What is the marginal product of labor as you increase the labor from three to five employees?

Joe owns a coffee house and produces coffee drinks under the…

Joe owns a coffee house and produces coffee drinks under the production function Q = 3KL where Q is the number of cups generated per hour, K is the number of coffee machines (capital), and L is the number of employees hired per hour (labor). Joe currently has three coffee machines (i.e., K = 3). What is his short-run production function?