Exam 10: Production and Cost Estimation

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An estimated short-run cost function

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A theoretical restriction on the short-run cubic cost equation, TVC = aQ + bQ + cQ2, is

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Refer to Greene Enterprises, Inc., whose manager recently estimated its average variable cost (AVC) function to be AVC=880.026Q+0.000003Q2A V C = 88 - 0.026 Q + 0.000003 Q ^ { 2 } Greene Enterprises faces total fixed costs (TFC) of $300,000. -At Greene Enterprises, average variable cost (AVC) reaches its minimum value at $________.

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Refer to the cost regression for Straker Industries shown below. Straker Industries estimated its short-run costs using a U-shaped average variable cost function of the form AVC=a+bQ+cQ2A V C = a + b Q + c Q ^ { 2 } and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000. DEPENDENTVARIAELE: AVC R-SQUARE F-RATIO P-VALUE ON F OESERVATIONS: 35 108.3 PARAMETER STANDARD VARIAELE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 43.40 13.80 Q - - Q2 4.00 -At Straker Industries, average variable cost (AVC) reaches its minimum value at $________.

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When estimating a short-run production function of the form Q=AL3+BL2Q = A L ^ { 3 } + B L ^ { 2 } , it is necessary to specify in the computer routine that

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A linear specification, Q = aK + bL, is not appropriate for estimating a production function because

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Refer to the cost regression for Straker Industries shown below. Straker Industries estimated its short-run costs using a U-shaped average variable cost function of the form AVC=a+bQ+cQ2A V C = a + b Q + c Q ^ { 2 } and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000. DEPENDENTVARIAELE: AVC R-SQUARE F-RATIO P-VALUE ON F OESERVATIONS: 35 108.3 PARAMETER STANDARD VARIAELE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 43.40 13.80 Q - - Q2 4.00 -If Straker Industries produces 12 units of output, what is estimated average variable cost (AVC)?

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The empirical specification TVC=aQ+bQ2+cQ3T V C = a Q + b Q ^ { 2 } + c Q ^ { 3 } can be used to estimate

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What is a problem with using a production function of the form Q = aK + bL (a > 0, b > 0)?

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Refer to Greene Enterprises, Inc., whose manager recently estimated its average variable cost (AVC) function to be AVC=880.026Q+0.000003Q2A V C = 88 - 0.026 Q + 0.000003 Q ^ { 2 } Greene Enterprises faces total fixed costs (TFC) of $300,000. -When Greene Enterprises produces 6,000 units, average variable cost (AVC) is $_________.

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Refer to the following: A firm estimates its long-run production function to be Q=0.0075K3L3+12K2L2Q = - 0.0075 K ^ { - 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 } Suppose the firm employs 12 units of capital. -Average product when 10 units of labor are employed is

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Refer to the cost regression for Straker Industries shown below. Straker Industries estimated its short-run costs using a U-shaped average variable cost function of the form AVC=a+bQ+cQ2A V C = a + b Q + c Q ^ { 2 } and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000. DEPENDENTVARIAELE: AVC R-SQUARE F-RATIO P-VALUE ON F OESERVATIONS: 35 108.3 PARAMETER STANDARD VARIAELE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 43.40 13.80 Q - - Q2 4.00 -The estimated short-run marginal cost function (SMC) at Straker Industries is:

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Refer to the following: A firm estimates its long-run production function to be Q=0.0075K3L3+12K2L2Q = - 0.0075 K ^ { - 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 } Suppose the firm employs 12 units of capital. -Marginal product when 10 units of labor are employed is

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Refer to the following: A firm estimates its long-run production function to be Q=0.0075K3L3+12K2L2Q = - 0.0075 K ^ { - 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 } Suppose the firm employs 12 units of capital. -The product curve(s) in the short-run are

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Refer to the cost regression for Straker Industries shown below. Straker Industries estimated its short-run costs using a U-shaped average variable cost function of the form AVC=a+bQ+cQ2A V C = a + b Q + c Q ^ { 2 } and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000. DEPENDENTVARIAELE: AVC R-SQUARE F-RATIO P-VALUE ON F OESERVATIONS: 35 108.3 PARAMETER STANDARD VARIAELE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 43.40 13.80 Q - - Q2 4.00 -If Straker Industries produces 12 units of output, what is estimated total variable cost (TVC)?

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