# Calculating profit maximizing output level in the given case

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 = 2K^(1/2)L^(1/2)

where K represents capital equipment and L is labor. Your company 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. If workers at the firm are paid a competitive wage of $100 and chairs can be sold for $200 each, what is your profit-maximizing level of output and labor usage? What is your maximum profit?

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#### Solution Preview

Marginal Product of labor=MPL=dQ/dL=2*(1/2)*K^1/2*L^(-1/2)

=K^0.5*L^(-0.5)

Marginal Product of ...

#### Solution Summary

Solution describes the steps to calculate profit maximizing output level in the given case.