Asked by Jonathan Philley on May 27, 2024

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A manufacturing operation began with 85 staff members. On April 1, 4 employees were hired; on June 1, 3 employees retired; and on November 1, another 3 employees were hired. Determine the average number of workers during the year.

A) 86.75
B) 88
C) 89.25
D) 91.25
E) 92.75

Average Number

A value found by adding all numbers in a set together and then dividing by the count of those numbers.

Staff Members

Individuals employed by an organization or a specific department within an organization.

Employees Retired

Refers to workers who have left the workforce, typically upon reaching a certain age or after completing a certain number of years of service, often with a pension.

  • Understand and calculate average numbers in various contexts.
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Verified Answer

DR
Dymond RhodesMay 31, 2024
Final Answer :
A
Explanation :
The average number of workers can be calculated by taking the weighted average based on the number of months each staffing level was maintained. Initially, there were 85 staff members. On April 1, 4 employees were hired, bringing the total to 89. This level was maintained for April and May (2 months). On June 1, 3 employees retired, reducing the staff to 86, which was maintained for June, July, August, September, and October (5 months). On November 1, another 3 employees were hired, increasing the staff to 89, which was maintained for November and December (2 months). The calculation is as follows:- 85 staff for 3 months (January, February, March): 85 * 3 = 255- 89 staff for 2 months (April, May): 89 * 2 = 178- 86 staff for 5 months (June, July, August, September, October): 86 * 5 = 430- 89 staff for 2 months (November, December): 89 * 2 = 178Total staff-months = 255 + 178 + 430 + 178 = 1041Average number of workers = Total staff-months / 12 months = 1041 / 12 = 86.75