Question
The minimum staffing levels based on total budgeted arrests are as follows: Annual # of Arrests Police Officers Desk Clerks Supervisors 0-1000 11 6 2
The minimum staffing levels based on total budgeted arrests are as follows:
Annual # of Arrests | Police Officers | Desk Clerks | Supervisors |
0-1000 | 11 | 6 | 2 |
1001,-2000 | 12 | 6 | 2 |
2,001-3,000 | 12 | 7 | 2 |
3,001-4000 | 13 | 8 | 3 |
C City allocates some indirect or overhead costs to each of its police stations. The city charges each station for common services such as the city food service and for administrative services, such as payroll. For the coming year, the C Police Station will have a total budget allocation of $1,400,000. That will be its only revenue. All direct and indirect charges have to be paid from that budgeted amount.
Each police station must pay $100,000 for processing of its payroll. In addition, once arrests are made, the prisoners spend a day or two at the local police station, where the city must feed them. On average, the city food service charges each police station $40 for the meal service for each arrest.
The statiion would like to maximize its number of arrests to reduce the number of criminals on the street. However, more arrests require not only mood food, but also more police officers.
Annual salaries for each class are as follows:
Police Officers: $54,000
Desk Clerks: $59,000
Supervising Officers: $68,500
*Note that this police station cannot process more than 4,000 arrests per year due to size.
Calculate the surplus or deficit at each maximum annual number of arrests staffing levels (1000,2000,3000,4000). Calculate the maximum number of arrests that C Police Station can budget for and still expect to break even for the coming year. (Hint; Once you have found the range of annual arrests that the C Police Station from a surplus to a deficit, focus on what costs are variable between those two levels to find the exact BEQ).
Demonstrate these calculations in a steo-by-step procedure.
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