A immovable estimates its weighty controlmation character of the controlthcoming controlm: Q = AL^3 +BL^2  and obtains the controlthcoming results:
Dependent VARIABLE Q R-SQUARE F-RATIO P-VALUE ON F
OBSERVATIONS 32 0.7547 92.31 0.0001
VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE
L3 -0.0016 0.0005 -3.2 0.0032
L2 0.4 0.095 4.21 0.0002
a. Based on the reputation results, transcribe thee equations control whole effect, medium effect, and final effect curves:
b.The estimated rates of A and B are statistically suggestive at fit what smooth of apprehension? (explanation the p-value)
c. Find the smooth of strive at which the medium effect of strive reaches its ultimatum rate.

2. Suppose the short-run controlmation character control a point effect is represented by:
Q = 60,000L2 – 1,000L3
a. Find the final effect and pretext mathematically that strive is topic to diminishing receipts.
b. Beyond what strive custom, the final effect becomes disclaiming.
c. Pretext mathematically that when the medium effect is at ultimatum, final effect is similar to it?

Assume Caspian is a immovable open in a competitive traffic. The estimated its medium unsteady consume character is pretextn below: AVC = A + BQ + CQ2
The whole agricultural consume (TFC) = $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 T-RATIO P-VALUE
INTERCEPT 43.4 13.8 3.14 0.0036
Q -2.8 0.9 -3.11 0.0039
Q2 0.2 0.05 4 0.0004
a. Are the estimated coefficients statistically suggestive at the 5% smooth of apprehension?
b. Find the whole consume character.
c. Find the equation control the ATC. Is it U-shaped? A unaffected yes/no is referable sufficient. Explanation math.
d. Find the shut-down appraisement.
e. How fur obtain the immovable result at the traffic appraisement of $53.4?

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