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The inverse market demand in a homogeneous-product Cournot duopoly is P = 100 – 2(Q1 + Q2) and costs are C1(Q1) = 12Q1 and C2(Q2) = 20Q2.
a. Determine the reaction function for each firm.
b. Calculate each firm’s equilibrium output.
c. Calculate the equilibrium market price.
d. Calculate the profit each firm earns in equilibrium.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 $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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