Answer:
The level of output (Q) is associated with the minimum AVC is 8.98.
Explanation:
The following sorted data are given in the question:
Adjusted R Square 0.809
Coefficients Standard Error t Stat P-value
Intercept 47.66 3.29 14.49 0.0001
Q -4.67 0.72 -6.48 0.0000
Q^2 0.26 0.03 7.79 0.0000
From the regression results above, the regression equation for AVC can be obtained as follows:
AVC = Coefficient of intercept + Coefficient of Q * Q + Coefficient of Q^2 * Q^2 …………. (1)
Substituting the relevant values into equation (1), we have:
AVC = 47.66 – 4.67Q + 0.26Q^2
Differentiate AVC with respect to Q, equating it to 0, and solve for Q, we have:
dAVC/dQ = -4.67 + (2 * 0.26)Q = 0
4.67 = 0.52Q
Q = 4.67 / 0.52
Q = 8.98
Therefore, the level of output (Q) is associated with the minimum AVC is 8.98.
