You are a manager for Herman Miller, a major manufacturer 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) l/2 (L) 1/2

where K represents capital equipment and L is labor. Your company has already spent a total of $11,000 on the 5 units of capital equipment it owns. Due to current economic conditions, the company does not have the flexibility needed to acquire additional equipment. Since the quantity of capital does not change, there is no MP of capital. If workers at the firm are paid a competitive wage of $80 per day and chairs can be sold for $500 each, what is your profit-maximizing level of output and labor usage? Please show your calculations.