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Exercises 8.6 Practice Problems

Subsection 8.6.1 Marginal analysis in input markets

  1. How does a price control impact the process of a price adjustment to equilibrium?

Subsection 8.6.2 Monopsonistic input markets

    Subsection 8.6.3 Demand for labor

      Subsection 8.6.4 Monopsonistic input markets

      Subsection 8.6.5 Comparison: output markets versus input markets

      1. Consider the short-run production function below for a perfectly competitive firm. The firm has no market power in output or input markets, and therefore faces a constant output price of \(p = 10\) and a constant wage rate of \(w = 40\text{.}\) Labor is the firm’s only variable input.
        \(L\) \(q\) \(MPL\) \(MRPL\) \(MC\)
        0 0 - - -
        1 10 10 4
        2 18
        3 24
        4 28
        5 30
        1. Complete the table above.
        2. If the firm chooses output \(q^*\) to maximize its profit, what condition does it use? Give the condition, and the value of optimal choice of output \(q^*\text{.}\)
        3. In one carefully-labeled graph, draw the demand curve faced by the firm, the firm’s \(MC\) curve, and \(q^*\text{.}\) What curve does the \(MC\) curve represent?
        4. If, instead, the firm chooses its optimal quantity of input \(L^*\) to maximize its profit, what condition does it use? Give the condition, and the value of optimal choice of labor, \(L^*\text{.}\)
        5. In a separate, carefully-labeled graph, draw the supply curve faced by the firm, the \(MRPL\) curve, and \(L^*\text{.}\) What curve does the \(MRPL\) curve represent?
        6. Do your answers for \(q^*\) and \(L^*\) represent the same optimal choice? Explain in words, and draw the connection between the two values in one carefully-labeled graph.
        7. What one property gives the two curves in parts c. and e. their shape?