(Steps Shown) A firm estimated its short-run costs using an average variable cost function of the form AVC=a+bQ+cQ^2 and obtained the following results. Total
Question: A firm estimated its short-run costs using an average variable cost function of the form
\[AVC=a+bQ+c{{Q}^{2}}\]and obtained the following results. Total fixed cost is $1,000.
| DEPENDENT VARIABLE: | AVC | R SQUARE | F RATIO | P VALUE ON F | |
| OBSERVATIONS: | 35 | 0.8713 | 108.3 | 0.0001 | |
| VARIABLE |
PARAMETER
ESTIMATE |
STANDARD
ERROR |
TRATIO | PVALUE | |
| INTERCEPT | 43.40 | 13.80 | 3.14 | 0.0036 | |
| Q | 2.80 | 0.90 | 3.11 | 0.0039 | |
| Q2 | 0.20 | 0.05 | 4.00 | 0.0004 | |
- At what level of output is AVC minimum? What is the minimum AVC?
- What are the estimated AVC and TC when the firm produces 20 units of output?
- What is estimated MC when the firm produces 12 units of output?
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