# A. Use a takt time of 120 seconds and follow the most following tasks heuristic rule to assign...

## Question:

A none 40
B none 60
C B 30
D C 30
E A, D 30
F E 30

A.) Use a takt time of 120 seconds and follow the most following tasks heuristic rule to assign these tasks to the work stations. Show which tasks are assigned to each workstation.

B.) Compute the efficiency and percent idle time for the system

## Efficiency.

Efficiency refers to attain the highest amount of output by using the least amount of input. This helps the organization to achieve more profit by incurring the least cost on inputs and making more output.

(A)

{eq}\begin{align*} {\rm{TTT}}& = {\rm{Total\; Average\; Time}}\\ & = 40 + 60 + 30 + 30 + 20 + 30\\ & = 120 \end{align*} {/eq}

{eq}\begin{align*} {\rm{Number\; of\; Workstations}}& = \dfrac{{{\rm{TTT}}}}{{{\rm{TT}}}}\\ &= \dfrac{{210}}{{120}}\\ & = 1.75{\rm{or}}2 \end{align*} {/eq}

Here,

(B)

Calculation of efficiency is as follows:

{eq}\begin{align*} {\rm{Efficiency}}& = \dfrac{{{\rm{Sum\; of\; TT}}}}{{{\rm{ANW}} \times {\rm{CT}}}}\\ & = \dfrac{{210}}{{2\left( {120} \right)}}\\ & = 0.875 \times 100\\ & = 88\% \end{align*} {/eq}

Here,

ANW is actual number off workstations.

CT is cycle time.

Calculation of idle time is as follows:

{eq}\begin{align*} {\rm{PIT}}& = 100 - {\rm{Efficiency}}\\ &= 100 - 88\% \\ &= 99.12\% \end{align*} {/eq}

Here,

PIT is percent idle time.