You have collected the following data on output and total variable costs:

Q

TVC ($)

10

50,400

20

85,200

30

109,800

40

129,600

50

150,000

60

176,400

70

214,200

80

268,800

90

345,600

100

450,000

a.Identify the range of output exhibiting increasing returns (increasing MP), and the range exhibiting diminishing returns (decreasing MP).

b.Current fixed costs for the company equal $102,500. Draw two graphs, both with Q on the horizontal axis: one graph shows TVC and TC, and the other shows AVC, AC, and MC.

c.Suppose that the government imposes a $32,000 property tax hike on all businesses; how will that affect your two graphs; i.e., which cost curves will be affected and how?

d.Suppose instead that the government considers your production process to be polluting, and imposes a $710 tax per unit produced (replacing the property tax in the previous question). How does this tax increase compare to the property tax increase, in terms of the effect on your company's cost curves?

e.Your boss says "either of these taxes is going to force us to change our production levels." Given what you know about optimization analysis, how would you respond?