Smelling of Tulips, Inc., a perfume company, estimated its short-run costs using a U-shaped average variable cost function of the form and obtained the following results.Total fixed cost (TFC) at S.T. Inc. is $810.

Adjusted R Square

0.945

Coefficients

Standard Error

t Stat

P-value

Intercept

32.90

2.13

15.46

0.0042

Q

-3.81

0.47

-8.16

0.0000

Q^2

0.25

0.02

11.58

0.0000

a.What level of output (Q) is associated with the minimum AVC? What is the value of AVC at this minimum?

b.Determine equations for ATC, TC, and MC. Graph one scatterplot of Q vs. TC, and another scatterplot of Q vs. ATC, AVC, and MC.

c.When output is 8, how much is TC, AVC, ATC, and MC?

d.At what amount of output does labor change from exhibiting increasing returns to decreasing returns?