Problem 1: Consider a perfectly competitive industry composed of N identical firms in the short run. The firm produces output, q, using labor (L) and capital (K): q=√LK In the short run, each firm's capital is fixed at one unit. Each unit of labor and capital cost w and r respectively. The industry demand curve is given by: P=a-Q, a>0 1. Find the short run equilibrium price, firm output, and industry output. 2. How will the short run equilibrium price and outputs vary with a change in the wage rate, w? Explain your answer. 3. How will the short run equilibrium price and outputs vary with a change in the rental rate, r? Explain your answer.
Problem 1: Consider a perfectly competitive industry composed of N identical firms in the short run. The firm produces output, q, using labor (L) and capital (K): q=√LK In the short run, each firm's capital is fixed at one unit. Each unit of labor and capital cost w and r respectively. The industry demand curve is given by: P=a-Q, a>0 1. Find the short run equilibrium price, firm output, and industry output. 2. How will the short run equilibrium price and outputs vary with a change in the wage rate, w? Explain your answer. 3. How will the short run equilibrium price and outputs vary with a change in the rental rate, r? Explain your answer.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Step 1: State the given information
VIEWStep 2: 1) Find the short run equilibrium price, firm output, and industry output
VIEWStep 3: 2) Discuss the impact of change in the wage rate on short run equilibrium price and outputs
VIEWStep 4: 3) Discuss the impact of change in the rental rate r on short run equilibrium price and outputs
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