Pencils sell for 10 cents and pens sell for 50 cents. Suppos…

Pencils sell for 10 cents and pens sell for 50 cents. Suppose Jack, whose preferences satisfy all of the basic assumptions, buys 5 pens and one pencil each semester. With this consumption bundle, his MRS is 3, assuming pencils are on the y-axis and pens are on the x-axis. Which of the following is true?

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?