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Economics · Production and costs

Total, average and marginal quantities

Three columns of numbers look alike and you pick the wrong one under exam pressure.

Total product is all the output, average product is output per worker, and marginal product is the extra output from one more worker. Each has its own formula and its own meaning.

This lesson sits inside production and costs. It works in the short run, so read short run and long run first if the term is new.

Which formula goes with which quantity?

Quantity Formula Question it answers
Total product (TP) Read from the table How much was made in all?
Average product (AP) TP ÷ number of workers How much per worker?
Marginal product (MP) TP now − TP before What did the last worker add?

Marginal always compares two neighbouring rows. Average divides one row by its own worker count.

Worked example: a fictional tailoring shop

The shop has a fixed number of sewing machines and adds workers one at a time.

Workers TP (shirts) MP AP
1 10 10 10.0
2 24 14 12.0
3 42 18 14.0
4 58 16 14.5
5 68 10 13.6
6 72 4 12.0

Sample working: MP of worker 4 = 58 − 42 = 16. AP with 5 workers = 68 ÷ 5 = 13.6. Every other row follows the same two steps.

Notice that MP peaks at worker 3 (18), and AP peaks later at worker 4 (14.5). Total product still rises at worker 6, because MP is still positive.

How does marginal product pull the average?

Compare MP with the AP of the row before. At worker 4, MP is 16, which is above the previous AP of 14.0, so AP rises to 14.5.

At worker 5, MP is 10, which is below the previous AP of 14.5, so AP falls to 13.6.

So the rule is: if MP is above AP, AP rises; if MP is below AP, AP falls. A new worker who adds less than the current average drags the average down, just as a low test score drags down a class average.

The mistake that costs marks

The common slip is to divide the extra output by the total workers instead of comparing two totals. A student computes the MP of worker 4 as 58 ÷ 4 = 14.5, which is the average, not the marginal.

The fix is to check the word “extra” or “additional” in the question. It signals marginal, so subtract the previous total.

Check yourself

A fictional noodle stall adds helpers. Total output is 12, 28, 48 and 60 bowls with 1, 2, 3 and 4 helpers. Find the MP of the third helper and the AP with four helpers, and say whether AP rose or fell at the fourth helper.

Answer

MP of the third helper = 48 − 28 = 20 bowls.

AP with four helpers = 60 ÷ 4 = 15 bowls.

AP with three helpers was 48 ÷ 3 = 16. MP of the fourth helper = 60 − 48 = 12, which is below 16, so AP fell to 15.

What to study next

Continue with explaining productivity, which uses average product to judge efficiency. For a deeper drill on cost columns, try separating total, average and marginal quantities.

If you want a teacher to watch you calculate these from tables, see online one-to-one Economics tuition.

Common questions

What is the difference between total, average and marginal product?

Total product is all the output. Average product is total product divided by the number of workers. Marginal product is the extra output from employing one more worker. Each answers a different question, so the formulas are not interchangeable.

How do I calculate marginal product from a table?

Subtract the previous total product from the current one. If total product rises from 24 to 42 when the third worker joins, the marginal product of the third worker is 42 − 24 = 18.

Why does average product fall after a point?

It falls when the marginal product is below the average. An extra worker adding less than the current average pulls the average down, even if total product is still rising.

Can total product rise while marginal product falls?

Yes. Total product keeps rising as long as marginal product is positive, even if marginal product is shrinking. Total product only falls if marginal product becomes negative.

If the three columns still swap in your head during timed tables, one-to-one Economics lessons let a teacher hand you fresh tables and watch which formula you reach for.

  • Online one-to-one lessons for your child with an experienced teacher.
  • Your first class is a one-hour trial, from RM50. The fee is agreed before you book.
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