Production and CostsClass 12 Introductory Microeconomics Case Study Questions
10 Questions
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Case 1 of 10
Case Study6 marks
Understanding the Production Function
A firm's production process is described by the relationship between the inputs it uses and the output it produces. The production function specifies the maximum output that can be produced with any given combination of inputs. Consider a firm using two inputs, Labour (L) and Capital (K), to produce a good. The table below shows the maximum output for different combinations of these two factors.
| Labour (L) | Capital (K) | Output (q) |
|---|---|---|
| 1 | 4 | 10 |
| 2 | 2 | 10 |
| 4 | 1 | 10 |
| 3 | 3 | 30 |
| 4 | 4 | 50 |
An isoquant represents all possible combinations of inputs that yield the same maximum level of output. For example, the combinations (1L, 4K), (2L, 2K), and (4L, 1K) all lie on the same isoquant for q=10. This implies that the firm can substitute one input for another while keeping the output constant. With greater amounts of one input, the same level of output can be produced using a lesser amount of the other, which is why isoquants are negatively sloped.
Questions on this case
1(1 mark)MCQ
According to the table, what is the maximum output the firm can produce with 4 units of Labour and 4 units of Capital?
2(1 mark)MCQ
Which of the following input combinations lies on the isoquant for an output level of 30 units?
3(1 mark)
Based on the passage, define a production function.
4(1 mark)
What is an isoquant?
5(2 marks)
Explain why isoquants are negatively sloped, using the information provided in the passage.
Case Study7 marks
A Bakery's Short-Run Production
A small bakery operates in the short run. Its owner cannot change the number of ovens, which is fixed at 1. The only way to change the daily output of cakes is by hiring more or fewer bakers (labour). The relationship between the number of bakers and the total product (TP) is given in the table below. The owner observes that as more bakers are added, they initially help each other and specialize, increasing output significantly. However, after a certain point, the single oven and limited workspace become crowded, and the additional contribution of each new baker starts to decline.
| Bakers (Labour) | Total Product (Cakes) |
|---|---|
| 0 | 0 |
| 1 | 10 |
| 2 | 24 |
| 3 | 40 |
| 4 | 50 |
| 5 | 56 |
Questions on this case
1(1 mark)MCQ
In this scenario, which of the following is the fixed factor of production?
2(1 mark)
Define the 'short run' in the context of this bakery.
3(1 mark)
Calculate the marginal product of the 3rd baker.
4(2 marks)MCQ
The law of diminishing marginal product begins to apply after the hiring of which baker?
5(2 marks)
Explain the economic reason why the marginal product of bakers eventually diminishes in this bakery.
Case Study7 marks
A Firm's Short-Run Cost Structure
To produce output, a firm must incur costs. In the short run, costs are divided into fixed and variable categories. Total Fixed Cost (TFC) is the cost of fixed inputs and does not change with output. Total Variable Cost (TVC) is the cost of variable inputs and increases with output. Total Cost (TC) is the sum of TFC and TVC. From these, we can derive average and marginal costs.
Consider the following cost schedule for a firm:
| Output (q) | Total Cost (TC) (Rs) |
|---|---|
| 0 | 20 |
| 1 | 30 |
| 2 | 38 |
| 3 | 44 |
| 4 | 49 |
| 5 | 53 |
| 6 | 59 |
Average Cost (SAC) is TC/q, Average Variable Cost (AVC) is TVC/q, and Marginal Cost (SMC) is the change in TC for a one-unit change in q.
Questions on this case
1(1 mark)MCQ
What is the Total Fixed Cost (TFC) of the firm?
2(2 marks)
Calculate the Average Variable Cost (AVC) when the firm produces 4 units of output.
3(1 mark)
What is the Short-run Marginal Cost (SMC) of producing the 6th unit of output?
4(2 marks)MCQ
According to the table, the marginal cost is at its minimum when producing which unit?
5(1 mark)
Explain the relationship between Total Cost (TC), Total Variable Cost (TVC), and Total Fixed Cost (TFC).