Process Step Mixing Baking Decorating Packaging

Processing Time $7\mathrm{.}9217\mathrm{.}53\mathrm{.}2$

Resources $1$ worker $2$ ovens $1$ worker $1$ worker

a$)$ How many batches of cupcakes can the bakery produce per hour?

YOUR ANSWER:

EXPLANATION: $"$We will take the longest processing time. In this question, the baking takes the longest procssing time which is $21$mins$/2$ ovens, $(10\mathrm{.}5$ mins$/$ batch$)$

Batches per hour fpr bakes $=60$mins $/10\mathrm{.}5$ mins$/$batch $5\mathrm{.}7142$ batches

$"$

b$)$ What is the bottleneck of the production process?

YOUR ANSWER: Baking processing

EXPLANATION: The bottleneck is the baking processing, because system capacity equals capacity of the lowest capacity which is baking processing in the question.

c$)$ Assuming the process runs at a rate of $4\mathrm{.}7$ batches$/$hr$,$ what will be the cycle time $($in minutes$)?$

YOUR ANSWER: $12\mathrm{.}766$ mins

EXPLANATION: "The cycle time $=1/$flow rate$=1/4\mathrm{.}7$ batches$/$ hr $0\mathrm{.}21277$ hour

Then, we calculate the mins to hour: $0\mathrm{.}21266$ hour$*60$ mins $=12\mathrm{.}766$ mins

$"$

d$)$ Assuming the process runs at a rate of $4\mathrm{.}7$ batches$/$hr$,$ what is the utilization of the worker assigned to mixing?

YOUR ANSWER:

EXPLANATION: