A total of 1000 units of a certain product must be completed by the end of the current week. It is now late Monday afternoon, so only four days (8-hour shifts) are left. The standard time for producing each unit of the product (all manual operations) is 11.65 min. How many workers will be required to complete this production order if it is assumed that worker efficiency will be 115%? (20 pts)

7 workers will be required

Explanation:

We will define actual time required to do a job

= Standard time required for producing each unit x Worker efficiency (%) / 100

= 11.65 x 115/100

= 13.3975 minutes

Total available minutes in 4 days = 4 days x 8 hours / day x 60 minutes / day = 1920 minutes

Therefore,

Number of units which can be produced by 1 worker in 4 days = 1920 / 13.3975

Number of units to be produced = 1000 units

Therefore,

Number of workers required

= Number of units to be produced / Number of units which can be produced by 1 worker in 4 days

= 1000 x (13.3975 / 1920)

= 6.977 (7 rounded to nearest whole number)