Assume that you are a manager for Haworth —one of the major manufacturers of office furniture. You recently hired an economist to work with engineering and operations experts to estimate the production function for a particular line of office chairs. The report from these experts indicates that the relevant production function is Q = 2(K) 1/2 (L)1/2 where K represents capital equipment and L is labor. Hanworth has already spent a total of $10,000 on the 4 units of capital equipment it owns. Due to current economic conditions, the company does not have the flexibility needed to acquire additional equipment. The workers at the firm are paid a competitive wage of $100. Also, the chairs can be sold for $200 each. Suppose that Hanworth aims to produce 200 units of chair, how much is the optimal level of capital (K) needed in the production to maximize your profit?
Assume that you are a manager for Haworth —one of the major manufacturers of office furniture. You recently hired an economist to work with engineering and operations experts to estimate the production function for a particular line of office chairs. The report from these experts indicates that the relevant production function is Q = 2(K) 1/2 (L)1/2 where K represents capital equipment and L is labor. Hanworth has already spent a total of $10,000 on the 4 units of capital equipment it owns. Due to current economic conditions, the company does not have the flexibility needed to acquire additional equipment. The workers at the firm are paid a competitive wage of $100. Also, the chairs can be sold for $200 each.
Suppose that Hanworth aims to produce 200 units of chair, how much is the optimal level of capital
(K) needed in the production to maximize your profit?
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