You are the new head of human resources for Flat Tire Rent- a-Car. You want to ensure that your staff are paid appropriately As such, you want to inspect the wage structure of the positions you are supervising and identify any problems (e.g., overpayment, underpayment ) Wage structures are made up of pay grades and, within them, step ranges (Fig. ) In this organization, one's pay grade is determined by their job title, and one's step range within the grade- is determined by their duration of employment with the organization The tables contained in this exercise provide several forms of pay data a pay grade table indicating job evaluation points and top of grade pay for each of four positions (Table )pay steps and promotion eligibility criteria Table 2), and a table of current employees, their job titles, tenure in weeks, and current pay (Table 3). Figure 2 shows a chart of the pay grades and pay step ranges As an example, as shown in Figure 2, Brown is a maintenance staff member and, thus belongs in Pay Grade 1 (which has a maximum pay rate of 50,000)However, Brown has over 250 completed weeks of service with the organization and, thus, Brown should be located within Step Range of Pay Grade Thus, according Table 2, Brown should be paid between $42,500 (which is % of 50,000) and $50,000 (which is 100% of 50,000)As shown in Figure 2 (and Table 3), Brown's current pay is 49,000. Thus, Brown is paid appropriately   1. Complete the chart shown in Figure 2 (i.e., draw the limits for Pay Grade 4 limits for all other pay grades are already provided ).  2. Insert each employee's name into the chart, noting which are overpaid, underpaid, and appropriately paid- or if any are green-circled or red-circled.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You are the new head of human resources for Flat Tire Rent- a-Car. You want to ensure that your staff are paid appropriately As such, you want to inspect the wage structure of the positions you are supervising and identify any problems (e.g., overpayment, underpayment ) Wage structures are made up of pay grades and, within them, step ranges (Fig. ) In this organization, one's pay grade is determined by their job title, and one's step range within the grade- is determined by their duration of employment with the organization The tables contained in this exercise provide several forms of pay data a pay grade table indicating job evaluation points and top of grade pay for each of four positions (Table )pay steps and promotion eligibility criteria Table 2), and a table of current employees, their job titles, tenure in weeks, and current pay (Table 3). Figure 2 shows a chart of the pay grades and pay step ranges As an example, as shown in Figure 2, Brown is a maintenance staff member and, thus belongs in Pay Grade 1 (which has a maximum pay rate of 50,000)However, Brown has over 250 completed weeks of service with the organization and, thus, Brown should be located within Step Range of Pay Grade Thus, according Table 2, Brown should be paid between $42,500 (which is % of 50,000) and $50,000 (which is 100% of 50,000)As shown in Figure 2 (and Table 3), Brown's current pay is 49,000. Thus, Brown is paid appropriately

 

1. Complete the chart shown in Figure 2 (i.e., draw the limits for Pay Grade 4 limits for all other pay grades are already provided ). 
2. Insert each employee's name into the chart, noting which are overpaid, underpaid, and appropriately paid- or if any are green-circled or red-circled. 

 

### Table 1: Pay Grade Data

| Pay Grade | Job Evaluation Points | Top of Grade | Position            |
|-----------|-----------------------|--------------|---------------------|
| 1         | 100—200               | $50,000      | Maintenance staff   |
| 2         | 201—300               | $70,000      | Sales associate     |
| 3         | 301—400               | $100,000     | Branch manager      |
| 4         | 401—500               | $120,000     | District manager    |

### Table 2: Pay Step Data

| Step Range | Lower Limit            | Upper Limit            | Promotion Eligibility Criterion                                        |
|------------|------------------------|------------------------|------------------------------------------------------------------------|
| SR1        | >= 40% of top of grade | < 55% of top of grade  |                                                                        |
| SR2        | >= 55% of top of grade | < 70% of top of grade  | (SR1 → SR2): 104 weeks of service with the organization                 |
| SR3        | >= 70% of top of grade | < 85% of top of grade  | (SR2 → SR3): 156 weeks of service with the organization                 |
| SR4        | >= 85% of top of grade | <= 100% of top of grade | (SR3 → SR4): 208 weeks of service with the organization                 |

### Table 3: Current Employee Data

| Last Name | Position        | Tenure (Weeks Completed) | Step Range (should be) | Current Annual Salary | Step Range (based on pay) |
|-----------|-----------------|--------------------------|------------------------|-----------------------|---------------------------|
| Brown     | Maintenance     | 285                      |                        | $49,000               |                           |
| Reid      | Maintenance     | 190                      |                        | $40,000               |                           |
| Webster   | Maintenance     | 250                      |                        | $52,000               |                           |
| Carter    | Maintenance     | 62                       |                        | $26,000               |                           |
| Sherman   | Sales associate | 195                      |                        | $52,000               |                           |
| Barrett   | Sales associate | 52                       |                        | $25,000               |                           |
| Snyder    | Sales associate | 200                      |
Transcribed Image Text:### Table 1: Pay Grade Data | Pay Grade | Job Evaluation Points | Top of Grade | Position | |-----------|-----------------------|--------------|---------------------| | 1 | 100—200 | $50,000 | Maintenance staff | | 2 | 201—300 | $70,000 | Sales associate | | 3 | 301—400 | $100,000 | Branch manager | | 4 | 401—500 | $120,000 | District manager | ### Table 2: Pay Step Data | Step Range | Lower Limit | Upper Limit | Promotion Eligibility Criterion | |------------|------------------------|------------------------|------------------------------------------------------------------------| | SR1 | >= 40% of top of grade | < 55% of top of grade | | | SR2 | >= 55% of top of grade | < 70% of top of grade | (SR1 → SR2): 104 weeks of service with the organization | | SR3 | >= 70% of top of grade | < 85% of top of grade | (SR2 → SR3): 156 weeks of service with the organization | | SR4 | >= 85% of top of grade | <= 100% of top of grade | (SR3 → SR4): 208 weeks of service with the organization | ### Table 3: Current Employee Data | Last Name | Position | Tenure (Weeks Completed) | Step Range (should be) | Current Annual Salary | Step Range (based on pay) | |-----------|-----------------|--------------------------|------------------------|-----------------------|---------------------------| | Brown | Maintenance | 285 | | $49,000 | | | Reid | Maintenance | 190 | | $40,000 | | | Webster | Maintenance | 250 | | $52,000 | | | Carter | Maintenance | 62 | | $26,000 | | | Sherman | Sales associate | 195 | | $52,000 | | | Barrett | Sales associate | 52 | | $25,000 | | | Snyder | Sales associate | 200 |
The image is a box plot illustrating the distribution of annual salaries across different pay grades (Grade 1 to Grade 4).

**Axes:**
- The horizontal axis represents "Pay Grade," with four levels: Grade 1, Grade 2, Grade 3, and Grade 4.
- The vertical axis represents "Annual Salary," ranging from $20,000 to $110,000, in increments of $2,000.

**Box Plot Details:**
- Each box plot reflects the salary range for a specific pay grade, showing the minimum, first quartile, median, third quartile, and maximum values.
  
**Grade 1:**
- The box plot for Grade 1 shows a relatively narrow salary range, approximately from $22,000 to $40,000.
- The median salary is around $30,000.

**Grade 2:**
- For Grade 2, the salary range expands from about $36,000 to $64,000.
- The median is higher, roughly at $48,000.

**Grade 3:**
- Grade 3 salaries range from approximately $52,000 to $78,000.
- The median is around $62,000.

**Grade 4:**
- The salary range for Grade 4 is the widest, from roughly $66,000 to $102,000.
- The median salary is about $84,000.

**Additional Note:**
- There is a note labeled “Brown” next to Grade 1, though its context requires further information for clarification. 

These box plots visually depict how salaries tend to increase with each pay grade, illustrating the potential salary growth associated with higher pay grades.
Transcribed Image Text:The image is a box plot illustrating the distribution of annual salaries across different pay grades (Grade 1 to Grade 4). **Axes:** - The horizontal axis represents "Pay Grade," with four levels: Grade 1, Grade 2, Grade 3, and Grade 4. - The vertical axis represents "Annual Salary," ranging from $20,000 to $110,000, in increments of $2,000. **Box Plot Details:** - Each box plot reflects the salary range for a specific pay grade, showing the minimum, first quartile, median, third quartile, and maximum values. **Grade 1:** - The box plot for Grade 1 shows a relatively narrow salary range, approximately from $22,000 to $40,000. - The median salary is around $30,000. **Grade 2:** - For Grade 2, the salary range expands from about $36,000 to $64,000. - The median is higher, roughly at $48,000. **Grade 3:** - Grade 3 salaries range from approximately $52,000 to $78,000. - The median is around $62,000. **Grade 4:** - The salary range for Grade 4 is the widest, from roughly $66,000 to $102,000. - The median salary is about $84,000. **Additional Note:** - There is a note labeled “Brown” next to Grade 1, though its context requires further information for clarification. These box plots visually depict how salaries tend to increase with each pay grade, illustrating the potential salary growth associated with higher pay grades.
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