The assignment must be completed individually. You must hand$-$write your answers for all parts of the questions. You must submit a scanned version $($scanning$/$taking pictures with phone is ok$)$ of your hand$-$written answers merged in one Word or PDF file to Canvas. Note that you must combine those several pages of scans$/$pictures of your handwritten answers into one Word or PDF file only $($do not submit the scans$/$pictures separately or your assignment will not be graded$).$ Handwriting on iPad, Surface, etc. is accepted, but typing is not allowed. You are responsible for making sure the handwriting is neat to read and the scanned copy$/$picture is of highquality. No late assignments will be accepted for any reasons, and zero grade will be assigned.

Academic Integrity Pledge:

The purpose of this assignment is practicing the course content and learning the material. Uploading this assignment to any online websites including but not limited to Chegg and Course Hero are strongly prohibited. This material is the property of the instructor and University of Delaware. Any unauthorized distribution of the material will result in a non$-$droppable grade of zero in this assignment and may result in an F grade in the course. By submitting this assignment to the course Canvas, you affirm that you did not distribute this file nor used such websites$/$tools to write this assignment.

Don't forget to include units wherever required. You'll lose marks if you don't include units properly. Make sure you answer all parts of each question and show all your work, or you will lose marks.

Bounce$-$N$-$Beast Inflatables

Bounce$-$N$-$Beast Inflatables Inc. is a company that specializes in making giant inflatable animals! Their assembly line works as follows. The first task $($Task $1)$ is to inflate the animal using a special air pump. Next task $($Task $2)$ is to add the body and limbs$,$ which are made from soft, colorful fabrics. These give the animals their shape and personality. The third step $($Task $3)$ is to add the eyes, nose, and mouth, which are made from various materials such as buttons, felt, and yarn. The final assembly step $($Task $4)$ is to add any final touches, such as accessories or clothing, and to package the animal for shipping. The end result is called an "inflatable friend". These tasks are done sequentially. The following table shows resources and flow time for each of the tasks.

$($a$)$ Map the process. Provide all important information such as flow times and resources on the map $(20$ points$)$

$($b$)$ What is the flow unit? $(10$ points$)$

$($c$)$ What is the flow time and capacity rate of this process? Show all calculations and justify your answer. Include units $(25$ points$).$

$($d$)$ Suppose the flow time of Task $3$ is increased by $\backslash (20\backslash \%\backslash ).$ What is the capacity rate of this process? Explain $(10$ points$).$

$($e$)$ Consider the original problem $($ignore the changes you made in part $($d$)).$ Suppose a new Packaging Machine similar to the existing one, is added to the assembly line $($which means each of them can complete Task $4$ in $10$ minutes$),$ and also, a new sewist, Sewist $2,$ is hired to work alongside Sewist $1$: both sewists will work together to complete Task $2$ on each unit, and they'll work at the same speed. This means now together, they can complete Task $2$ in $4\mathrm{.}5$ min per unit. What is the flow time of the entire process? What is the bottleneck? What is the capacity rate of the process? Show all calculations, include the units, and justify your answers $(25$ points$).$

$($f$)$ Consider the original problem $($ignore the changes you made in parts $($d$)$ and $($e$)).$ Suppose the Artist is laid off and now the worker operating the air pump $($Task $1)$ needs to now take care of both Tasks $1$ and $3.$ What is the flow time of the entire process? What is the bottleneck? What is the capacity rate of the process? Show all calculations, include the units, and justify your answers $(10$ points$).$