Refer to the Cost Regression for Straker Industries Shown Below $$A V C = a + b Q + c Q ^ { 2 }$$

question 19

Multiple Choice

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

$$A V C = a + b Q + c Q ^ { 2 }$$
and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000.
$$\begin{array} { r l l l l l } \text { DEPENDENTVARIAELE: } & \text { AVC } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\\text { OESERVATIONS: } & \text { 35 } & \mathbf { 0 . 8 7 1 3 } & 108.3 & \mathbf { 0 . 0 0 0 1 } & \\& & \begin{array} { l } \text { PARAMETER }\end{array} & \text { STANDARD } & & \\\text { VARIAELE } & & \text { ESTIMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & & 43.40 & 13.80 & \mathbf { 3 . 1 4 } & \mathbf { 0 . 0 0 3 6 } \\\text { Q } & & - \mathbf { 2 . 8 0 } & \mathbf { 0 . 9 0 } & - \mathbf { 3 . 1 1 } & \mathbf { 0 . 0 0 3 9 } \\\text { Q2 } & & \mathbf { 0 . 2 0 } & \mathbf { 0 . 0 5 } & 4.00 & \mathbf { 0 . 0 0 0 4 }\end{array}$$
-At what level of output is average variable cost (AVC) at its minimum point for Straker Industries?

• A) 0.14
• B) 4.7
• C) 7
• D) 14
• E) 28

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Definitions:

Direct Manufacturing Cost

The total cost directly involved in the manufacturing of a product, including direct materials and direct labor but excluding overhead.

Indirect Manufacturing Costs

Expenses related to the production process that are not directly tied to the manufacturing of products, such as maintenance and factory overhead.

Gross Margin

The difference between sales revenue and the cost of goods sold, expressed as a percentage of sales revenue.

Variable Cost

Charges that fluctuate in accordance with the degree of business operations or output levels.