Item$4$

$14\mathrm{.}28$

points

eBookReferencesCheck my workCheck My Work button is now enabled$4$Item $4$

Problem $6-18($Algo$)$

An assembly line is to be designed to operate $8\mathrm{.}25$ hours per day and supply a steady demand of $275$ units per day. Here are the tasks and their performance times:

TASK PRECEDING TASKS PERFORMANCE TIME $($SECONDS$)$ TASK PRECEDING TASKS PERFORMANCE TIME $($SECONDS$)$

a $58$ g d $28$

b $26$ h e $58$

c $18$ i f $8$

d a $48$ j g $23$

e b $53$ k h$,$i $65$

f c $56$ l j$,$k $28$

b$.$ What is the workstation cycle time required to produce $275$ units per day?

c$.$ What is the theoretical minimum number of workstations?

Note: Round up your answer to the next whole number.

d$.$ Assign tasks to workstations using the longest operating time.

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required.

e$.$ What is the efficiency of your line balance, assuming it is running at the cycle time from part $($b$)?$

Note: Round your answer to $1$ decimal place.

f$.$ Suppose demand increases by $10$ percent. How would you react to this? Assume you can operate only $8\mathrm{.}2$ hours per day.

Note: Round your answers to the nearest whole number.