$18$:$55$

$61$

Operations$+$Management$+$Assignm...

Done

Question $4$: Time Studies

A time study was conducted on a particular task performed by an operator in a manufacturing plant. The allowance factor is $15\%.$ The following times, in seconds, were recorded for ten cycles of the task:

$32,30,3,34,33,29,35,31,30,32$

Question $4-1$ Normal Time

Calculate normal time.

Question $4-2$ Standard Time

Calculate standard time.

Question $5$: Time Standards

A hotel housekeeper was observed five times on each of four task elements, see table below. On the basis of these observations, find the standard time for the process. Assume a $10\%$ allowance factor.

$\backslash$table$[[$Element$,$Performance rating $\%,$Observations $($minutes per cycle$)],[1,2,3,4,5],[\backslash$table$[[$Check$],[$minibar$]],100,1\mathrm{.}5,1\mathrm{.}6,1\mathrm{.}4,1\mathrm{.}5,1\mathrm{.}5],[$Make one bed,$90,2\mathrm{.}3,2\mathrm{.}5,2\mathrm{.}1,2\mathrm{.}2,2\mathrm{.}4],[$Vacuum floor,$120,1\mathrm{.}7,1\mathrm{.}9,1\mathrm{.}9,1\mathrm{.}4,1\mathrm{.}6],[$Clean bath,$100,3\mathrm{.}5,3\mathrm{.}6,3\mathrm{.}6,3\mathrm{.}6,3\mathrm{.}2]]$

There are four tasks. Remember to calculate the average time for each and then the normal time for each to find the standard time for the process.

Question $6$: Reliability

A manufacturing system consists of three components $($A$,$ B$,$ & C$)$ arranged in a series. The reliability of each component during operation is as follows:

Component A $0\mathrm{.}98$

Component B $0\mathrm{.}95$

Component C $0\mathrm{.}92$

Question $6-1$ System Reliability

Calculate the overall system reliability as a percentage to $1$decimal place.

Question $6-2$ System Reliability

If Component C is improved to have a reliability of $0\mathrm{.}96,$ what will the new system's reliability be$?$ As a percentage to $1$decimal place.

Question $7$: Reliability with Redundancies