91Ó°ÊÓ

It could be calculated by dividing the production time per dayby desired output per day.

$$\begin{gathered} \text{Workstation} \text{cycle} \text{time=}\frac{\text{Production} \text{per} \text{day}}{\text{Desired} \text{output} \text{per} \text{day}} \\ \text{=} \frac{\text{25200}}{\text{750}} \\ \text{=} \text{33.60} \text{seconds} \end{gathered}$$

Thetheoretical number of workstationsis the ideal number of workstations, which can be found as follows:

$$\begin{gathered} \text{number} \text{of} \text{workstations} \text{=} \frac{\text{Sum} \text{of} \text{task} \text{times}}{\text{workstations} \text{cycle} \text{time}} \\ \text{=} \frac{\left(\text{20 + 7 + 20 + 22 + 15 + 10 + 16 + 8}\right)}{\text{33.6}} \\ \text{=} \frac{\text{118}}{\text{33.6}} \\ \text{=} \text{3.51} \end{gathered}$$

The precedence diagramis given below:

Hence, the number of workstationsis 5.

Aline balance’s efficiencyaddresses how productively the capacity is utilized. $$\begin{gathered} \text{Efficiency} =\frac{\text{Sum} \text{of} \text{task} \text{times}}{\left(\text{Number} \text{of} \text{·É´Ç°ù°ì²õ³Ù²¹³Ù¾±´Ç²Ô²õװ´ǰù°ì²õ³Ù²¹³Ù¾±´Ç²Ô} \text{cycle} \text{time}\right)} \\ =\frac{118}{\left(5×33×60\right)} \\ \text{=} \text{0.702} \\ \text{=} \text{70.2\%} \end{gathered}$$

To adapt toincreased demand, a firm can either increase the functioning hours of each day or the number of workstations. With the increase in demand, workstations cycle time will be decreased as calculated below:

$$\begin{gathered} \text{Workstation} \text{cycle} \text{time=}\frac{\text{Production} \text{time} \text{per} \text{day}}{\text{Desired} \text{output} \text{per} \text{day}} \\ \text{=}\frac{\left(7×60×60\right)}{800} \\ \text{=} \text{31.55} \text{second} \\ \text{=} \text{32} \text{seconds} \end{gathered}$$

$$\begin{gathered} \text{Number} \text{of} \text{workstations=}\frac{\text{Sum} \text{of} \text{task} \text{time}}{\text{Cycle} \text{time}} \\ \text{=}\frac{\text{118}}{\text{32}} \\ \text{=} \text{3.68} ≃ \text{4} \end{gathered}$$

$$\begin{gathered} \text{Efficiency} =\frac{\text{Sum} \text{of} \text{task} \text{times}}{\left(\text{Number} \text{of} \text{·É´Ç°ù°ì²õ³Ù²¹³Ù¾±´Ç²Ô²õ×} \text{Workstation} \text{cycle} \text{time}\right)} \\ =\frac{118}{\left(4×32\right)} \\ \text{=} \text{0.921} \\ \text{=} \text{92.1\%} \end{gathered}$$

By expanding this number to the closest higher whole number, we observe that the number of workstations ought to be 4. So no increment is expected in the number of workstations or working hours. The firm can produce expanded yield utilizing the unassigned time of present workstations. The cycle time will be diminished and the efficiency is expanded to 92.15 with 800 units each day.

Workstation cycle timewill be reduced as

$$\begin{gathered} \text{Workstation} \text{cycle} \text{time} \text{=} \frac{\text{Production} \text{time} \text{per} \text{day}}{\text{Desired} \text{output} \text{per} \text{day}} \\ =\frac{\left(7×60×60\right)}{1000} \\ \text{=} \text{25.20} \text{seconds} \end{gathered}$$

$$\begin{gathered} \text{Number} \text{of} \text{workstations=} \frac{\text{Sum} \text{of} \text{task} \text{time}}{\text{Cycle} \text{time}} \\ \text{=} \frac{\text{118}}{\text{25.20}} \\ \text{=} \text{4.68} ≃ \text{5} \end{gathered}$$

$$\begin{gathered} \text{Efficiency=}\frac{\text{Sum} \text{of} \text{task} \text{times}}{\left(\text{Numb}\text{er} \text{of} \text{·É´Ç°ù°ì²õ³Ù²¹³Ù¾±´Ç²Ô²õװ´ǰù°ì²õ³Ù²¹³Ù¾±´Ç²Ô} \text{cycle} \text{time}\right)} \\ \text{=}\frac{118}{\left(5×25.2\right)} \\ \text{=} \text{0.936} \\ \text{=} \text{93.6\%} \end{gathered}$$

By expanding this number to the closest higher whole number, we observe that the number of workstations ought to be 5. On the off chance that this is beyond the realm of possibilities to expect to expand the number of workstations, working hours of the day ought to be expanded. New working hours ought to be$8.75\left(31.51×1000/\left(60×60\right)\right)$

So to adapt to the interest of 1000 units each day, either working hours ought to be expanded to 8.75 or another workstation ought to be added.