Respuesta :
Answer:
(a) 2min/15units
(b) 1min/20units
(c) The bottleneck stage is cutting. The process capacity is 450units/hour
(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times
Step-by-step explanation:
(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units
(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units
(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour
(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)
Cycle time is the amount of time that is taken to complete a specific from task. The capacity of the new employee must be 1 unit/2sec.
What is cycle time?
The cycle time is the amount of time that is taken to complete a specific from task from start to finish.
A.) As we know that in the step one has 2 employees and the time taken by each of the employees to make a toy is 8 sec, therefore, it will take 8 seconds to produce two units(one by each employee). Thus, the Cycle time for step one for 2 employees can be written as,
[tex]\begin{aligned}\text{Cycle time for First stage for 2 employees} &= 8\ sec \times \dfrac{1\ min}{60\ sec}\\\\&= 2\ min/15\ units\end{aligned}[/tex]
B.) As we know that the sealing step has only 1 employee and the time taken by each of the employees to seal a toy is 3 sec, therefore, it will take 3 seconds to produce one unit. Thus, the Cycle time for step Sealing can be written as,
[tex]\begin{aligned}\text{Cycle time for stage Sealing} &= 3\ sec \times \dfrac{1\ min}{60\ sec}\\\\&= 1\ min/20\ units\end{aligned}[/tex]
C.) The step of the plant that is the bottle neck is the First step.
Now, As we know that in the step one has 2 employees and the time taken by each of the employees to make a toy is 8 sec, therefore, it will take 8 seconds to produce two units(one by each employee). Thus, the Process capacity of step one can be written as,
[tex]\text{Process capacity of First stage} &= \dfrac{15\ units}{2\ mins }\times \dfrac{60\ min}{1\ hour}\\[/tex]
[tex]&= 450units/hour[/tex]
D.) If you add one employee in parallel at the bottleneck step, and the capacity of the new employee is 1unit/2sec, then the processing capacity of the new plant can be written as,
[tex]\rm \text{The processing capacity of the new plant} = \dfrac{1\ unit}{2\ sec}\times \dfrac{3600\ sec}{1\ hour} = 180\ Units/hour[/tex]
Now, as we see that the process of the new capacity increases 4 times as compared to the plant capacity of the plant before, therefore, the capacity of the new employee must be 1 unit/2sec.
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