Math Problem Statement
Douglas Fur is a small manufacturer of fake-fur boots in Dallas. The following table shows the company's total cost of production at various production quantities. Fill in the remaining cells of the table. Quantity Total Cost Marginal Cost Fixed Cost Variable Cost Average Variable Cost Average Total Cost (Pairs) (Dollars) (Dollars) (Dollars) (Dollars) (Dollars per pair) (Dollars per pair) 0 60 60 0 — — 95 1 155 60 95 95 155 65 2 220 60 160 80 110 35 3 255 60 195 65 85 45 4 300 60 240 60 75 50 5 350 60 290 58 70 100 6 450 60 390 65 75
On the following graph, plot Douglas Fur’s average total cost curve (ATC ) using the green points (triangle symbol). Next, plot its average variable cost curve (AVC ) using the purple points (diamond symbol). Finally, plot its marginal cost curve (MC ) using the orange points (square symbol). Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. ATC AVC MC 0 1 2 3 4 5 6 200 175 150 125 100 75 50 25 0 COSTS (Dollars per pair) QUANTITY OF OUTPUT (Pairs of boots)
Solution
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Math Problem Analysis
Mathematical Concepts
Cost Analysis
Marginal Cost
Fixed Cost
Variable Cost
Average Cost
Formulas
Fixed Cost (FC) = Total Cost when Quantity = 0
Variable Cost (VC) = Total Cost - Fixed Cost
Marginal Cost (MC) = Change in Total Cost / Change in Quantity
Average Variable Cost (AVC) = VC / Quantity
Average Total Cost (ATC) = Total Cost / Quantity
Theorems
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Suitable Grade Level
College-level Economics or Business
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