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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)1/2(L)1/2
where K represents capital equipment and L is labor. Your company has already spent a total of $8,000 on the 9 units of capital equipment it owns. Due to current economic conditions, the company does not have the flexibility needed to acquire additional equipment. If workers at the firm are paid a competitive wage of $120 and chairs can be sold for $400 each, what is your profit-maximizing level of output and labor usage?
Can you please help me solve for labor?
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