At what level of output will average variable cost be at a minimum? What is the minimum average variable cost?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm’s short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ2 where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners produced each month. Total fixed cost each month is $180,000. The following results were obtained:

Dependent Variable AVC R-SQUARE F-RATIO P-VALUE ON F
OBSERVATIONS 19 0.7360 39.428 0.0001
  PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE
VARIABLE INTERCEPT 191.93 54.65 3.512 0.0029
Q -0.0305 0.00789 23.866 0.0014
Q2 0.0000024 0.00000098 2.449 0.0262

Quetsion: At what level of output will average variable cost be at a minimum? What is the minimum average variable cost?

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