4. The following problem traces the relationship between firm decisions, market supply, and market equilibrium in a perfectly competitive market. a. Complete the following table for a single firm in the short run.
output| tfc| tvc | tc | Avc | Atc | Mc |
0 $150 $0 150 - - -
1 150 40 190 40 190 40
2 150 100 250 50 125 60
3 150 180 330 60 110 80
4 150 280 430 70 107.5 100
5 150 400 550 80 110 120
6 150 560 710 93.33 118.33 160
7 150 760 910 108.57 130 200
8 150 1000 1150 125 143.75 240
9 150 1300 1450 144.44 161.11 300
10 150 1850 2000 185 200 550
b. Using the information in the table, fill in the following supply schedule for this individual firm under perfect competition and indicate profit (positive or negative) at each output level. (Hint: At each hypothetical price, what is the MR of producing 1 more unit of output? Combine this with the MC of another unit to figure out the quantity supplied.)
PRICE |QUANTITYSUPPLIED| PROFIT
$ 40 __ ____
70 __ ____
110 __ ____
140 __ ____
180 __ ____
220 __ ____
260 __ ____
400
The total cost incurred by a firm operating in a market includes fixed costs and variable costs. Fixed costs do not change when there is a change in the quantity of output. Variable costs changes with changes in the quantity of output.
The total revenue of the firm is the sum of payments received from the sale of goods and services. Profit is the difference between total revenue and total cost.
Step 2
The marginal cost curve of a firm in the short run is the marginal cost curve above the minimum point of the average variable costs curve. When the price is less than the average cost, the firm will shut down and therefore the supply will be zero. Here the minimum of the average variable cost curve is $40. Therefore if the price is at least $40, the firm will supply.
The quantity supplied at each price is calculated by comparing the marginal cost and marginal revenue. The marginal revenue at each price is equal to the price. The firm will produce the quantity for which the marginal cost is less than or equal to the marginal revenue.
When the price is $40, the marginal revenue is $40. The marginal cost is $40 for the first unit. Therefore at $40, the firm will supply one unit of the output. Similarly, the quantity supplied at each price level is calculated.
Total revenue is the product of price and quantity. Total cost is the product of average cost and quantity. Therefore the profit can be calculated by multiplying the difference between price and average total cost by the quantity. The profit when the price is $40 is calculated as,
Profit=Total revenue−Total cost
=Price× Quantity− Average total cost× Quantity
=Quantity×(Price−Average total cost)
=1×(40−190)
=−150
Similarly, the profit for other levels of price is calculated.
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