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

question 4

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.
$$\begin{array} { r l l l l l } \text { DEPENDENTVARIAELE: } & \text { AVC } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\\text { OESERVATIONS: } & \text { 35 } & \mathbf { 0 . 8 7 1 3 } & 108.3 & \mathbf { 0 . 0 0 0 1 } & \\& & \begin{array} { l } \text { PARAMETER }\end{array} & \text { STANDARD } & & \\\text { VARIAELE } & & \text { ESTIMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & & 43.40 & 13.80 & \mathbf { 3 . 1 4 } & \mathbf { 0 . 0 0 3 6 } \\\text { Q } & & - \mathbf { 2 . 8 0 } & \mathbf { 0 . 9 0 } & - \mathbf { 3 . 1 1 } & \mathbf { 0 . 0 0 3 9 } \\\text { Q2 } & & \mathbf { 0 . 2 0 } & \mathbf { 0 . 0 5 } & 4.00 & \mathbf { 0 . 0 0 0 4 }\end{array}$$
-If Straker Industries produces 20 units of output, what is estimated average variable cost (AVC) ?

• A) $19.40
• B) $67.40
• C) $171.40
• D) $179.40

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Definitions:

Semi-annually Compounded

A reiteration of interest calculation and addition to the principal balance every half year, facilitating growth in investments or debt.

Nominal Rate

The stated interest rate of an investment or loan, not adjusting for inflation or the compounding of interest.

Compounded Quarterly

Involves the periodic addition of interest to a sum of money, specifically every three months, resulting in an exponential growth of the amount over time.

Amortization Period

The length of time over which a loan or mortgage is scheduled to be repaid.