Question 1 · Calculation
2 marksTable 1.1 shows the total physical product (TPP) of a firm producing organic honey. The firm operates in a perfectly competitive product market and can sell all its output at a market price of \(\$12\) per kilogram.
**Table 1.1**
| Number of workers | Total Physical Product (kg per hour) |
| :--- | :--- |
| 3 | 24 |
| 4 | 31 |
| 5 | 36 |
Using the data in Table 1.1, calculate the marginal revenue product (MRP) of the 4th worker. Show your working.
**Table 1.1**
| Number of workers | Total Physical Product (kg per hour) |
| :--- | :--- |
| 3 | 24 |
| 4 | 31 |
| 5 | 36 |
Using the data in Table 1.1, calculate the marginal revenue product (MRP) of the 4th worker. Show your working.
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Worked solution
To calculate the Marginal Revenue Product (MRP) of the 4th worker:
1. **Identify the Marginal Physical Product (MPP)** of the 4th worker:
\(\text{MPP} = \text{TPP}_4 - \text{TPP}_3\)
\(\text{MPP} = 31 - 24 = 7\) kg per hour
2. **Calculate the MRP**:
Since the firm operates in a perfectly competitive product market, the Marginal Revenue (MR) is equal to the market price (P), which is \(\$12\).
\(\text{MRP} = \text{MPP} \times P\)
\(\text{MRP} = 7 \times \$12 = \$84\)
1. **Identify the Marginal Physical Product (MPP)** of the 4th worker:
\(\text{MPP} = \text{TPP}_4 - \text{TPP}_3\)
\(\text{MPP} = 31 - 24 = 7\) kg per hour
2. **Calculate the MRP**:
Since the firm operates in a perfectly competitive product market, the Marginal Revenue (MR) is equal to the market price (P), which is \(\$12\).
\(\text{MRP} = \text{MPP} \times P\)
\(\text{MRP} = 7 \times \$12 = \$84\)
Marking scheme
- **1 mark** for identifying or calculating the Marginal Physical Product (MPP) of the 4th worker as \(7\) kg (or showing the working \(31 - 24\)).
- **1 mark** for the correct final calculation of \(\$84\) (accept \(84\)).
*Note: Award full 2 marks for the correct final answer of \(\$84\) (or \(84\)) with or without working.*
- **1 mark** for the correct final calculation of \(\$84\) (accept \(84\)).
*Note: Award full 2 marks for the correct final answer of \(\$84\) (or \(84\)) with or without working.*