You have been hired to replace the manager of a firm that used only two inputs, capital and labor, to produce output. The firm can hire as much labor as it wants at a wage of $10 per hour and can rent as much capital as it wants at a price of $50 per hour. After you look at the company books, you learn that the company has been using capital and labor in amounts that imply a marginal product of labor of 50 and a marginal product of capital of 100. Do you know why the firm hired you? Explain.