Final answer:
To meet the desired output of 80 units per day, with an operating time of 450 minutes and a total task time of 56 minutes, a minimum of 10 workstations are required.
Step-by-step explanation:
To determine the minimum number of workstations needed, we use the formula for calculating the number of workstations (N) based on the following formula:
N = Total Task Time / Available Time Per Day
Given that the sum of task times is 56 minutes and the operating time is 450 minutes per day, we first find out how many units can be produced in one day:
Units per day = Total operating time / Task time per unit
Units per day = 450 minutes / 56 minutes
Units per day = 8.0357 (approximately 8 units)
Because we desire an output of 80 units per day and we can produce approximately 8 units per workstation, we need:
Number of workstations = Desired output / Units per workstation
Number of workstations = 80 units / 8 units per workstation
Number of workstations = 10
Therefore, a minimum of 10 workstations are needed to meet the output requirement.