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

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter9: Applications Of Cost Theory
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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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