Production and Profits

Consider Noelle, who runs a Christmas tree farm. Suppose that the market price of Christmas trees is $18 per tree and that Noelle is a price-taker—she can sell as many as she likes at that price. Then we can use the data in Table 12-1 to find her profit-maximizing level of output by direct calculation.

Quantity of trees Q

Total revenue TR

Total cost TC

Profit TR − TC

0

     $0

 $140

-$140

10

  180

  300

 -120

20

  360

  360

    0

30

  540

  440

  100

40

  720

  560

  160

50

  900

  720

  180

60

1,080

  920

  160

70

1,260

1,160

  100

Table :

TABLE 12-1 Profit for Noelle’s Farm When Market Price Is $18

The first column shows the quantity of output in number of trees, and the second column shows Noelle’s total revenue from her output: the market value of trees she produced. Total revenue, TR, is equal to the market price multiplied by the quantity of output:

In this example, total revenue is equal to $18 per tree times the quantity of output in trees.

The third column of Table 12-1 shows Noelle’s total cost. The fourth column shows her profit, equal to total revenue minus total cost:

As indicated by the numbers in the table, profit is maximized at an output of 50 trees, where profit is equal to $180. But we can gain more insight into the profit-maximizing choice of output by viewing it as a problem of marginal analysis, a task we’ll do next.