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4. A production function for a business follows the model P (L, K) = 0.5L0'7KD'3 over the course of one year, where P represents the total value of all products the company makes, L represents the value of the labor from employees, and K represents the value of all the company's assets (buildings, machines, etc), where everything is measured in millions of dollars. P P (a) Find gL and 3K and explain what they represent in this context. (b) Evaluate the partial derivatives from part a when (L, K) = (3, 2). If this was your business and your values, if you wanted to expand would it be better to expand in workforce (increase L) or expand in assets (increase K)? When answering include units and write in complete sentences