You produce diamondstudded dog collars. Your production function is: Y = ALD'EK. Assume you have a large stockpile of diamonds and other collar material. Then the total number of collars you can produce in each hour (Y) is the product of your labor force [L in individuals] and capital (K, tables for working, space for tables. etc}. "A\" is a variable that captures any innovation you can create or adopt to make more collars per hour with the same number of workers and tables. a. Thanks to the recent surge in demand for diamondstudded collars, the equilibrium price of collars has increased to SZfcollar. You are wondering if your company can supply more to sell more at this new, higher price. You can really only change your labor force in the short-run. A calculus whiz on your economics team has determined that your MPL = 0.544% . Say your \"A\" = 1, your current labor force is 100 people, and you have 50 units of capital [space for production, tables, glue guns, etc]. New workers will cost you SSDIh r. Will you increase production? Why or why not? {2 points} b. At what production point {or output level} will it no longer be worth it for you to increase production (assuming you should do so}? How many laborers will you be employing at that point? [2 points}