# You have collected the following data on output and total variable costs: |Q |TVC ($) |1| 60 ... ## Question: You have collected the following data on output and total variable costs:  Q TVC ($) 1 60 2 110 3 150 4 180 5 200 6 230 7 280 8 350 9 440 10 550

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 $200. 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$50 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 \$10 tax per unit produced. 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?

## Production Function

Production function states the relationship between physical inputs and physical output. It is influenced by the cost function of the firm which is dependent upon the cost of various inputs that is fixed input and variable input.

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a. The firm would exhibit the increasing returns to the factor until the output level equated to 5 units of output and lower due to...