Question

5. Eastview’s police department hires a new class of 50 trainees every quarter to begin the 3-month police academy program. Four nearby communities have struggled in running their own police academies, partly due to their own city funding but also because their class size is much smaller (ranging from 5 to 15 trainees in each city). Eastview’s newspaper recently ran a story about the city’s intent to build a new training facility for the police academy. The four communities want to partner with Eastview to have Eastview provide their academy program rather than hosting it themselves. Using the information in Worksheet 8.3, analyze how the cost would vary from the lowest enrollment to the highest enrollment if Eastview and the four surrounding communities cooperated on a joint academy. The academy provides room and board to all trainees for a period of 11 weeks.

Trainees		Eastview Only	All- Low	All High
Room cost per person p/week	$110.00
Food cost per person p/week	$94.90
People per classroom	55
Cost estimate per classroom p/week	$1,000.00
Instructor per classroom p/week	$1,500.00
Academy material per person total	$5,000.00
Number of weeks	11
Total

Answer 1

The completed table is given as below:

		Eastview Only	All - Low	All - High
Trainees		50	70 (50 + 5*4)	110 (50 + 15*4)
Room cost per person per week	$110.00	$60,500 (50*110*11)	$84,700 (70*110*11)	$133,100 (110*110*11)
Food cost per person per week	$94.50	$51,975 (50*94.50*11)	$72,765 (70*94.50*11)	$114,345 (110*94.50*11)
People Per Classroom	55
Cost estimate per classroom per week	$1,000.00	$11,000 (1,000*11)	$22,000 (1,000*11*2)	$22,000 (1,000*11*2)
Instructor per classroom per week	$1,500.00	$16,500 (1,500*11)	$33,000 (1,500*11*2)	$33,000 (1,500*11*2)
Academy materials per person total	$5,000.00	$250,000 (50*5,000)	$350,000 (70*5,000)	$550,000 (110*5,000)
Number of Weeks	$ 11.00
Total		$389,975	$562,465	$852,445

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Notes:

1) Total trainees all - low will include 50 of Eastview and 5 (lowest) each from the four nearby communities resulting in a total of 70 (50 + 5*4) trainees.

2) Total trainees all - high will include 50 of Eastview and 15 (highest) each from the four nearby communities resulting in a total of 110 (50 + 15*4) trainees.

3) In a classroom, only 55 persons can be accomodated. Therefore, two classrooms will be required for all-low and all-high trainees scenario. This will result in $22,000 and $33,000 as cost estimate per classroom per week and instructor per classroom per week respectively for both all-low and all-high trainees scenario.