To fill in the blanks in this table, let's calculate the missing values for "Total Output," "Average Product," and "Marginal Product." Here’s the process:

Key Formulas:

1. Average Product (AP) = Total Output / Labor
2. Marginal Product (MP) = Change in Total Output / Change in Labor

Step-by-Step Calculation:

1. Labor = 30:

   • We already have the Average Product (AP) as 120.
   • Using $AP = \frac{Total\ Output}{Labor}$, we can calculate Total Output.
   • $Total\ Output = AP \times Labor = 120 \times 30 = 3,600$.

2. Labor = 40:

   • Total Output is given as 6,400.
   • Using $AP = \frac{Total\ Output}{Labor}$:
     • $AP = \frac{6,400}{40} = 160$.
   • Using the Marginal Product formula, MP from 30 to 40 labor:
     • $MP = \frac{6,400 - 3,600}{40 - 30} = \frac{2,800}{10} = 280$.

3. Labor = 50:

   • AP is given as 200.
   • Using $Total\ Output = AP \times Labor = 200 \times 50 = 10,000$.
   • Using the Marginal Product formula, MP from 40 to 50 labor:
     • $MP = \frac{10,000 - 6,400}{50 - 40} = \frac{3,600}{10} = 360$.

4. Labor = 60:

   • Total Output is given as 14,400.
   • Using $AP = \frac{Total\ Output}{Labor}$:
     • $AP = \frac{14,400}{60} = 240$.
   • Using the Marginal Product formula, MP from 50 to 60 labor:
     • $MP = \frac{14,400 - 10,000}{60 - 50} = \frac{4,400}{10} = 440$.

Completed Table:

Would you like further explanations or have any questions?

Here are some related questions to consider:

1. How does the Marginal Product change with each additional 10 units of labor?
2. What can be inferred about the productivity trend from this data?
3. Why does the Average Product continue to increase as labor increases?
4. Can you identify a point of diminishing returns in the table?
5. How would this table change if there was a maximum output capacity?

Tip: In production tables, Marginal Product is critical in understanding the efficiency of adding additional units of labor.