Solve these problems and upload your solution to Canvas. You can solve them $"$by hand" or

using Excel.

Show all your work $($typed in the document or pasting a scanned image of your handwritten

solution$).$ Save your solution document in a $.$pdf file and upload it to Canvas along with an

Excel file for calculations performed in Excel.

Problem $1(8$ points$)$

A worker$-$machine operation was found to involve $4\mathrm{.}6$ minutes of machine time per cycle in the

course of $40$ cycles of stopwatch study. The worker's time averaged $3\mathrm{.}1$ minutes per cycle, and the

worker was given a rating of $121$ percent $($machine rating is $100$ percent$).$ Midway through the study,

the worker took a $10-$minute rest break. Assuming an allowance factor of $13$ percent of work time

which is applied only to the worker element $($not the machine element$),$ determine the standard time

for this job. $($Do not round intermediate calculations. Round your final answer to $2$ decimal places.$)$