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Chapter 1Figure It Out 7.5

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Suppose that the long-run total cost function for a firm is LTC = 22,600Q - 300Q2 + Q3,and its long-run marginal cost function is LMC = 22,600Q - 600Q + 3Q2. (These cost functions yield a typical U-shaped long-run average cost curve.)

At what levels of output will the firm face economies of scale?

The firm will experience economies of scale between and units of output.

Average cost reaches its minimum point at the output level where LATC = LMC. If the LATC is U-shaped, the firm must be experiencing economies of scale at output levels below that quantity. For this problem, LATC = 22,600 – 300Q + Q2; this equals LMC at an output level of 150. For further review see section “Economies of Scale”.
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      The firm will experience diseconomies of scale

      A.
      B.
      C.
      D.

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