In what ways are the equipment selection and facility layout problems related? Explain.

Hosreel, Inc., a manufacturer of a plastic garden hose reel, is contemplating the purchase of a new type of

injection molding equipment that can produce the end product by itself. In other words, no additional

operations or equipment is needed. The company wants to produce $1000$ units per day and the machine

efficiency is $99\%.$ Assuming that each reel can be manufactured in $57$ seconds, determine how many pieces

of the new injection molding equipment Hosreel must purchase if it operates on only one $8-$hour shift per

day.

If the injection molding equipment in Exercise $6$ has a scrap rate of $10\%,$ would the answer to Exercise $6$

change? Why or why not? Show calculations to support your answer.

The route sheet for a handle used in medical diagnostic equipment is given in Table $2\mathrm{.}5.$ Also given are

the desired hourly output and scrap rate for each machine. Assuming that each machine has $90\%$

manufacturing efficiency, determine $(1)$ the required input and $(2)$ how many machines of each type

Mediquip Company, Inc., must purchase if the production rate at the lathe, drill, knurl, and buff is $6,10,15,$

and $18$ units per hour respectively.

TABLE $2\mathrm{.}5$

Production Data for Mediquip Co$.,$ Inc., in Exercise $9$

Find the number of machines required.

Parries Confectionery Company is considering the introduction of a new toffee. It requires four

processes: A$,$ B$,$ C$,$ and D in sequence. The equipment required for each process is available in

the company now and is dedicated to the production of another type of candy. Although some

capacity is available on all the equipment types, management is not sure whether they need to

buy additional pieces. To aid management in decision making, the following information is

available:

$($a$)$ The four pieces of equipment$-$one for each type$-$are available $50\%$ of the time.

$($b$)$ The company operates one shift per day $(8$ hours$)$ and $250$ days per year.

$($c$)$ If the company decides to produce toffee, then it must allocate half a day for candy production

and the remaining half day for toffee.

$($d$)$ The time required for equipment setup, cleaning, and maintenance and scrap rate $($i$.$e$.,$

spillage, production items that do not meet shape and other quality standards and hence

must be discarded, etc.$)$ for each process is given in Table $2\mathrm{.}6.$

$($e$)$ The demand for toffee is expected to be $1,000,000$ per year. If $1,000,000$ toffees are required

to be made per year, determine how many input and output units are required for each

process.

$($f$)$ Determine whether the company can produce the new toffee with the available equipment.

If not, how many pieces of each equipment must Parries purchase? Show your calculations.