. The table below illustrates the quantity of output (in units) and total cost (TC, in MYR) for a perfectly competitive firm that can sell its output at MYR 9 per unit.
Quantity |
TC |
TVC |
ATC |
AVC |
MC |
TR |
MR |
Profit /Loss |
0 |
3 |
0 |
- |
- |
- |
0 |
- |
-3 |
1 |
6 |
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2 |
12 |
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3 |
21 |
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4 |
33 |
|||||||
5 |
49 |
a. Calculate the total variable cost (TVC), average total cost (ATC), average variable cost (AVC), marginal cost (MC), total revenue (TR), marginal revenue (MR) and profit or loss at every levels of quantity. Fill in the blank entries. Show your calculations.
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b. Determine the profit maximizing level of output and the amount of economic profit the firm is making at current price of MYR 9.
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c. Determine whether the firm will produce or not in the short run, given the following price levels. Calculate the amount of profit or loss at each level.
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[Total: 15 marks]
Quantity | Fixed Cost | Variable Cost | Total Cost | Average Variable Cost | Average Total Cost | Marginal Cost | Price | Total Revenue | Marginal Revenue | Profit/Loss |
0 | 3 | 0 | 3 | -- | -- | -- | 9 | 0 | -- | -3 |
1 | 3 | 3 | 6 | 3 | 6 | 3 | 9 | 9 | 9 | 3 |
2 | 3 | 9 | 12 | 4.5 | 6 | 6 | 9 | 18 | 9 | 6 |
3 | 3 | 18 | 21 | 6 | 7 | 9 | 9 | 27 | 9 | 6 |
4 | 3 | 30 | 33 | 7.5 | 8.25 | 12 | 9 | 36 | 9 | 3 |
5 | 3 | 46 | 49 | 9.2 | 9.8 | 16 | 9 | 45 | 9 | -4 |
Total Cost = Fixed Cost + Variable Cost
At 0 units, variable cost is always zero so from the above formula fixed cost will be 3. Fixed cost will remain same at every quantity.
Variable Cost = Total Cost - Fixed Cost
Average Variable Cost = Variable Cost / Quantity
Average Total Cost = Total Cost / Quantity
Marginal Cost = Change in Total Cost / Change in Quantity
Total Revenue = Price x Quantity
Marginal Revenue = Change in Total Revenue / Change in Quantity
Profit = Total Revenue - Total Cost
B) Profit is maximized where marginal revenue and marginal cost both are equal. Now in case of perfect competition price and marginal revenue both are equal always so, we can say that in perfect competition profit is maximized where P = MC
Hence at a price of 9, profit is maximized at 3 units because at 3 units, price and marginal cost both are equal.
So the profit-maximizing output is 3 units and profit at this quantity is 6.
C) At a market price of 3, the firm will produce where P = MC. So the firm will produce 1 unit.
A firm shut's down when it is not able to cover its average variable cost from price.
So in this case at 1 unit, AVC is 3 and the price is 3 hence the price is able to cover the AVC so it should continue to produce.
D) At a market price of 16, the firm will produce where P = MC. So the firm will produce 5 units.
A firm shut's down when it is not able to cover its average variable cost from price.
So in this case at 5 units, AVC is 9.2 and the price is 16 hence the price is able to cover the AVC so it should continue to produce.
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