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Quantity
(Q) |
Total Cost
(TC) |
Fixed Cost
(FC) |
Variable Cost
(VC) |
Total Revenue
(TR) |
Profit
|
---|---|---|---|---|---|
0 | $62 | $62 | - | $0 | −$62 |
10 | $90 | $62 | $28 | $40 | −$50 |
20 | $110 | $62 | $48 | $80 | −$30 |
30 | $126 | $62 | $64 | $120 | −$6 |
40 | $144 | $62 | $82 | $160 | $16 |
50 | $166 | $62 | $104 | $200 | $34 |
60 | $192 | $62 | $130 | $240 | $48 |
70 | $224 | $62 | $162 | $280 | $56 |
80 | $264 | $62 | $202 | $320 | $56 |
90 | $324 | $62 | $262 | $360 | $36 |
100 | $404 | $62 | $342 | $400 | −$4 |
Based on its total revenue and total cost curves, a perfectly competitive firm like the raspberry farm can calculate the quantity of output that will provide the highest level of profit. At any given quantity, total revenue minus total cost will equal profit. One way to determine the most profitable quantity to produce is to see at what quantity total revenue exceeds total cost by the largest amount. On [link] , the vertical gap between total revenue and total cost represents either profit (if total revenues are greater that total costs at a certain quantity) or losses (if total costs are greater that total revenues at a certain quantity). In this example, total costs will exceed total revenues at output levels from 0 to 40, and so over this range of output, the firm will be making losses. At output levels from 50 to 80, total revenues exceed total costs, so the firm is earning profits. But then at an output of 90 or 100, total costs again exceed total revenues and the firm is making losses. Total profits appear in the final column of [link] . The highest total profits in the table, as in the figure that is based on the table values, occur at an output of 70–80, when profits will be $56.
A higher price would mean that total revenue would be higher for every quantity sold. A lower price would mean that total revenue would be lower for every quantity sold. What happens if the price drops low enough so that the total revenue line is completely below the total cost curve; that is, at every level of output, total costs are higher than total revenues? In this instance, the best the firm can do is to suffer losses. But a profit-maximizing firm will prefer the quantity of output where total revenues come closest to total costs and thus where the losses are smallest.
(Later we will see that sometimes it will make sense for the firm to shutdown, rather than stay in operation producing output.)
Firms often do not have the necessary data they need to draw a complete total cost curve for all levels of production. They cannot be sure of what total costs would look like if they, say, doubled production or cut production in half, because they have not tried it. Instead, firms experiment. They produce a slightly greater or lower quantity and observe how profits are affected. In economic terms, this practical approach to maximizing profits means looking at how changes in production affect marginal revenue and marginal cost.
[link] presents the marginal revenue and marginal cost curves based on the total revenue and total cost in [link] . The marginal revenue curve shows the additional revenue gained from selling one more unit. As mentioned before, a firm in perfect competition faces a perfectly elastic demand curve for its product—that is, the firm’s demand curve is a horizontal line drawn at the market price level. This also means that the firm’s marginal revenue curve is the same as the firm’s demand curve: Every time a consumer demands one more unit, the firm sells one more unit and revenue goes up by exactly the same amount equal to the market price. In this example, every time a pack of frozen raspberries is sold, the firm’s revenue increases by $4. [link] shows an example of this. This condition only holds for price taking firms in perfect competition where:
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