AVERAGE TOTAL COST (Dollars per bike) 640 560 480 400 320 240 160 80 0 0 100 200 300 400 QUANTITY (Bikes) 500 Range Fewer than 300 bikes per month Between 300 and 400 bikes per month More than 400 bikes per month 600 700 SRATC₁ O O SRATC₂ SRATC3 In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production. LRATC Economies of Scale Constant Returns to Scale Diseconomies of Scale ο ο ο

Managerial Economics: A Problem Solving Approach
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Chapter4: Extent (how Much) Decisions
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### Understanding the Production Costs at Ike's Bikes

Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (*Note: Q equals the total quantity of bikes produced by all factories.*)

#### Average Total Cost (Dollars per bike)

| Number of Factories | Q = 100 | Q = 200 | Q = 300 | Q = 400 | Q = 500 | Q = 600 |
|---------------------|--------|--------|--------|--------|--------|--------|
| 1                   | 440    | 280    | 240    | 240    | 480    | 800    |
| 2                   | 620    | 380    | 240    | 240    | 380    | 620    |
| 3                   | 800    | 480    | 320    | 240    | 280    | 440    |

Suppose Ike’s Bikes is currently producing 100 bikes per month in its only factory. Its short-run average total cost is **$440 per bike**.

Suppose Ike’s Bikes is expecting to produce 100 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using **one factory**.

### Graphical Representation
On the following graph, plot the three SRATC curves for Ike’s Bikes from the previous table.

- Use the **green points (triangle symbol)** to plot its SRATC curve if it operates one factory (SRATC₁)
- Use the **purple points (diamond symbol)** to plot its SRATC curve if it operates two factories (SRATC₂)
- Use the **orange points (square symbol)** to plot its SRATC curve if it operates three factories (SRATC₃)

Finally, plot the long-run average total cost (LRATC) curve for Ike’s Bikes using the **blue points (circle symbol)**.

---

Illustrate the costs and production strategies effectively to ensure optimal long-term planning and cost-efficiency in operations.

*(Note: The provided image contains detailed numerical data which can be used to create accurate graphical representations for
Transcribed Image Text:### Understanding the Production Costs at Ike's Bikes Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (*Note: Q equals the total quantity of bikes produced by all factories.*) #### Average Total Cost (Dollars per bike) | Number of Factories | Q = 100 | Q = 200 | Q = 300 | Q = 400 | Q = 500 | Q = 600 | |---------------------|--------|--------|--------|--------|--------|--------| | 1 | 440 | 280 | 240 | 240 | 480 | 800 | | 2 | 620 | 380 | 240 | 240 | 380 | 620 | | 3 | 800 | 480 | 320 | 240 | 280 | 440 | Suppose Ike’s Bikes is currently producing 100 bikes per month in its only factory. Its short-run average total cost is **$440 per bike**. Suppose Ike’s Bikes is expecting to produce 100 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using **one factory**. ### Graphical Representation On the following graph, plot the three SRATC curves for Ike’s Bikes from the previous table. - Use the **green points (triangle symbol)** to plot its SRATC curve if it operates one factory (SRATC₁) - Use the **purple points (diamond symbol)** to plot its SRATC curve if it operates two factories (SRATC₂) - Use the **orange points (square symbol)** to plot its SRATC curve if it operates three factories (SRATC₃) Finally, plot the long-run average total cost (LRATC) curve for Ike’s Bikes using the **blue points (circle symbol)**. --- Illustrate the costs and production strategies effectively to ensure optimal long-term planning and cost-efficiency in operations. *(Note: The provided image contains detailed numerical data which can be used to create accurate graphical representations for
**Homework (Ch 13)**

**Graph Analysis**

The provided graph plots the Average Total Cost (ATC) in dollars per bike against the Quantity of bikes produced. 

- **X-axis:** Quantity of Bikes (from 0 to 700 bikes)
- **Y-axis:** Average Total Cost in dollars per bike (from $0 to $640)

The graph shows four curves:

1. **SRATC1** (purple curve)
2. **SRATC2** (orange curve)
3. **SRATC3** (green curve)
4. **LRATC** (blue curve)

The Short-Run Average Total Cost (SRATC) curves vary for different production scales, and the Long-Run Average Total Cost (LRATC) curve represents the minimum average cost for different quantities of production in the long run.

**Table Instructions**

In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production.

| Range                              | Economies of Scale | Constant Returns to Scale | Diseconomies of Scale |
|------------------------------------|--------------------|---------------------------|------------------------|
| Fewer than 300 bikes per month     | (?)                | (?)                       | (?)                    |
| Between 300 and 400 bikes per month| (?)                | (?)                       | (?)                    |
| More than 400 bikes per month      | (?)                | (?)                       | (?)                    |

**Note:** Please fill in each row with the appropriate selection based on the analysis of the LRATC curve.
Transcribed Image Text:**Homework (Ch 13)** **Graph Analysis** The provided graph plots the Average Total Cost (ATC) in dollars per bike against the Quantity of bikes produced. - **X-axis:** Quantity of Bikes (from 0 to 700 bikes) - **Y-axis:** Average Total Cost in dollars per bike (from $0 to $640) The graph shows four curves: 1. **SRATC1** (purple curve) 2. **SRATC2** (orange curve) 3. **SRATC3** (green curve) 4. **LRATC** (blue curve) The Short-Run Average Total Cost (SRATC) curves vary for different production scales, and the Long-Run Average Total Cost (LRATC) curve represents the minimum average cost for different quantities of production in the long run. **Table Instructions** In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production. | Range | Economies of Scale | Constant Returns to Scale | Diseconomies of Scale | |------------------------------------|--------------------|---------------------------|------------------------| | Fewer than 300 bikes per month | (?) | (?) | (?) | | Between 300 and 400 bikes per month| (?) | (?) | (?) | | More than 400 bikes per month | (?) | (?) | (?) | **Note:** Please fill in each row with the appropriate selection based on the analysis of the LRATC curve.
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