Question $5,$ Problem $7$

HW Score: $35\mathrm{.}71\%,10$ of $28$ points

Points: $0$ of $6$

Question list

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Question $1$

Question $2$

Question $3$

Question $4$

Question $5$

Question $6$

Question $7$

Question $8$

Question $9$

Question $10$

Question content area

Part $1$

$$Yost$-$Perry Industries$($YPI$)$ manufactures a mix of affordable guitars$($A$,$ B$,$ C$)$ that are fabricated and assembled at four different processing stations$($W$,$ X$,$ Y$,$ Z$).$ The operation is a batch process with small setup times that can be considered negligible. The product information$($price$,$ weekly$$ demand, and processing$$ times$)$ and process sequences are shown below. Purchased parts and raw materials$($shown as a$$ per$-$unit consumption$$ rate$)$ are represented by inverted triangles. YPI is able to make and sell up to the limit of its demand per week with no penalties incurred for not meeting the full demand. Each workstation is staffed by one highly skilled worker who is dedicated to work on that workstation alone and is paid$$ $$15$ per hour. The plant operates one$8-$hour shift per day and operates on a$5-$day work week$($i$.$e$.,40$ hours of production per person per$$ week$).$ Overhead costs are$$ $$9,000/$week$.$

$$11$

$$8$

$$4$

$$5$

Step $1$

Step $1$

Station W

Station W

Step $2$

Step $2$

Station Y

Station Z

Product A

Product B

Raw materials

Raw materials

$(12$ min$)$

$(7$ min$)$

$(12$ min$)$

$(13$ min$)$

Purchased part

Step $1$

Product C

Step $2$

Station X

Purchased part

Purchased part

Raw materials

Station W

$$14$

$$5$

$(20$ min$)$

$(10$ min$)$

x y graph

Step $3$

Step $3$

Station X

Station Z

Product: A

Product: B

$(10$ min$)$

$(9$ min$)$

Price: $$105/$unit

Demand: $60$ units$/$wk

Demand: $88$ units$/$wk

Price: $$95/$unit

Step $3$

Station Y

$(5$ min$)$

Product: C

Price: $$110/$unit

Demand: $72$ units$/$wk

x y graph

Part $2$

Which of the four$$ workstations, W$,$ X$,$ Y$,$ or Z has the highest aggregate$$ workload, and thus serves as the bottleneck for$$ YPI?$$

$$

$,$ with a total load time of

$$

enter your response here minutes. $($Enter your response as an$$ integer.$)$