a)
Quantity | Total Cost ($) | Total Variable Cost ($) | Marginal Cost ($) | Average Total Cost($) | Average Variable Cost($) |
0 | 8 | 0 | - | - | - |
1 | 14 | 6 | 6 | 14.00 | 6.00 |
2 | 18 | 10 | 4 | 9.00 | 5.00 |
3 | 24 | 16 | 6 | 8.00 | 5.33 |
4 | 32 | 24 | 8 | 8.00 | 6.00 |
5 | 42 | 34 | 10 | 8.40 | 6.80 |
6 | 54 | 46 | 12 | 9.00 | 7.67 |
7 | 68 | 60 | 14 | 9.71 | 8.57 |
b)
Break-even point is when Profit = 0
=> Total Revenue - Total Cost = 0
=> Price * Quantity - ATC * Quantity = 0
=> (Price - ATC) * Quantity = 0
=> Price = ATC at the profit-maximizing quantity
We know that the profit-maximizing condition is Price = Marginal Cost
Therefore, Breakeven price = Marginal Cost = ATC = $8 (obtained from the table)
If the firm is unable to recover its variable costs from the revenue, then the firm shuts down
Shut-down price = Minimum of AVC = $5 (obtained from the table)
c)
Price ($) | Output | Total Revenue ($) | Total Cost ($) | Profit/Loss |
4 | 2 | 8 | 18 | -10 |
7 | 3 | 21 | 24 | -3 |
9 | 4 | 36 | 32 | 4 |
11 | 5 | 55 | 42 | 13 |
12 | 6 | 72 | 54 | 18 |
The output(profit-maximizing) in the above table is obtained as the highest quantity up to which the marginal cost remains less than or equal to the price.
d)
Price ($) | Output | Total Revenue ($) | Total Cost ($) | Profit/Loss | Total Quantity Supplied 1 |
4 | 2 | 8 | 18 | -10 | 240 |
7 | 3 | 21 | 24 | -3 | 360 |
9 | 4 | 36 | 32 | 4 | 480 |
11 | 5 | 55 | 42 | 13 | 600 |
12 | 6 | 72 | 54 | 18 | 720 |
Total Quantity supplied 1 = Number of firms * Output from each firm = 120 * Output
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