Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods inventories. Information from the previous four periods of production follows:     Period 1 Period 2 Period 3 Period 4 Chemical input (gallons) 125,000 129,280 128,000 120,000 Labor input (hours) 12,500 11,200 15,000 10,100 Solvent sales (gallons) 110,000 113,120 120,000 103,020 Average price of chemical per gallon $ 2.00 $ 2.10 $ 1.95 $ 2.25 Average wage rate per hour 28.00 26.00 31.00 34.00 Average sales price per gallon 10.26 10.00 9.80 10.60 Manufacturing overhead (total) 236,000 245,312 245,400 243,080   Required: a. Compute the partial productivity measures for chemical for the four periods. b. Compute the partial productivity measures for labor for the four periods. c. Compute the total factor productivity for the four periods.

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Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods inventories. Information from the previous four periods of production follows:

 

  Period 1 Period 2 Period 3 Period 4
Chemical input (gallons) 125,000 129,280 128,000 120,000
Labor input (hours) 12,500 11,200 15,000 10,100
Solvent sales (gallons) 110,000 113,120 120,000 103,020
Average price of chemical per gallon $ 2.00 $ 2.10 $ 1.95 $ 2.25
Average wage rate per hour 28.00 26.00 31.00 34.00
Average sales price per gallon 10.26 10.00 9.80 10.60
Manufacturing overhead (total) 236,000 245,312 245,400 243,080

 

Required:

a. Compute the partial productivity measures for chemical for the four periods.

b. Compute the partial productivity measures for labor for the four periods.

c. Compute the total factor productivity for the four periods.

## Total Factor Productivity Analysis

### Overview
This table displays the Total Factor Productivity (TFP) calculated for four distinct periods. The values presented indicate the efficiency with which inputs are transformed into outputs across each period.

### Data Summary

| Period   | Total Factor Productivity |
|----------|---------------------------|
| Period 1 | 1.350                     |
| Period 2 | 1.400                     |
| Period 3 | 1.220                     |
| Period 4 | 1.280                     |

### Analysis Explanation

- **Period 1**: The Total Factor Productivity is 1.350. This period's productivity level is satisfactory, indicated by a green check mark.
  
- **Period 2**: The TFP is 1.400, which is the highest recorded productivity level among all periods. This optimal output is marked with a green check, signifying excellent productivity.

- **Period 3**: With a TFP of 1.220, this period shows a decline in productivity. It is flagged with a red mark, indicating lower than desired performance.

- **Period 4**: The productivity is measured at 1.280, which is also below optimal levels. Like Period 3, it is marked with a red indicator.

The table assists in identifying which periods had optimal productivity and which periods require investigation and improvement.
Transcribed Image Text:## Total Factor Productivity Analysis ### Overview This table displays the Total Factor Productivity (TFP) calculated for four distinct periods. The values presented indicate the efficiency with which inputs are transformed into outputs across each period. ### Data Summary | Period | Total Factor Productivity | |----------|---------------------------| | Period 1 | 1.350 | | Period 2 | 1.400 | | Period 3 | 1.220 | | Period 4 | 1.280 | ### Analysis Explanation - **Period 1**: The Total Factor Productivity is 1.350. This period's productivity level is satisfactory, indicated by a green check mark. - **Period 2**: The TFP is 1.400, which is the highest recorded productivity level among all periods. This optimal output is marked with a green check, signifying excellent productivity. - **Period 3**: With a TFP of 1.220, this period shows a decline in productivity. It is flagged with a red mark, indicating lower than desired performance. - **Period 4**: The productivity is measured at 1.280, which is also below optimal levels. Like Period 3, it is marked with a red indicator. The table assists in identifying which periods had optimal productivity and which periods require investigation and improvement.
### Chemical Productivity Analysis

To evaluate partial productivity measures for chemicals over four periods, the computed values are presented in the table below.

#### Table: Partial Chemical Productivity

| Period   | Partial Chemical Productivity |
|----------|-------------------------------|
| **Period 1** | **0.8800** ![Checkmark](green) |
| **Period 2** | **0.8750** ![Checkmark](green) |
| **Period 3** | **0.9380** ![Cross](red)     |
| **Period 4** | **0.8590** ![Cross](red)     |

#### Explanation:

- **Period 1 and Period 2**: Both show productivity values below 0.8800, indicated with a green checkmark, suggesting satisfactory performance.
- **Period 3**: Exhibits a higher productivity value of 0.9380, marked with a red cross, indicating a deviation from the expected range or benchmark.
- **Period 4**: Demonstrates the lowest productivity value at 0.8590, also marked with a red cross.

These measures provide insights into the efficiency and potential areas for improvement in chemical productivity across the specified periods.
Transcribed Image Text:### Chemical Productivity Analysis To evaluate partial productivity measures for chemicals over four periods, the computed values are presented in the table below. #### Table: Partial Chemical Productivity | Period | Partial Chemical Productivity | |----------|-------------------------------| | **Period 1** | **0.8800** ![Checkmark](green) | | **Period 2** | **0.8750** ![Checkmark](green) | | **Period 3** | **0.9380** ![Cross](red) | | **Period 4** | **0.8590** ![Cross](red) | #### Explanation: - **Period 1 and Period 2**: Both show productivity values below 0.8800, indicated with a green checkmark, suggesting satisfactory performance. - **Period 3**: Exhibits a higher productivity value of 0.9380, marked with a red cross, indicating a deviation from the expected range or benchmark. - **Period 4**: Demonstrates the lowest productivity value at 0.8590, also marked with a red cross. These measures provide insights into the efficiency and potential areas for improvement in chemical productivity across the specified periods.
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