A production process for flower vases consists of three tasks to be completed in sequence: first, Shape $($by a specialized machine$),$ second, Bake $($in a single oven$),$ and third, Paint $($by a worker$).$ The times taken for one vase at each step are $5$ minutes for Shape, $8$ minutes for Bake, and $6$ minutes for Paint. There are $8$ working hours in each day.

Assume that there is one resource at each step and there is no waiting time between steps.

Question at position $1$

$1$

$30$ points

Question at position $1$

What is the daily capacity of each activity a$)$ Shape $,$ b$)$ Bake, and c$)$ Paint. Show calculations.

What is the daily capacity of each activity a$)$ Shape $,$ b$)$ Bake, and c$)$ Paint. Show calculations.

p

Question at position $2$

$2$

$10$ points

Question at position $2$

Which is the bottleneck task, and why?

Which is the bottleneck task, and why?

p

Question at position $3$

$3$

$10$ points

Question at position $3$

If the demand for flower vases is $70$ units per day, what will be the flow rate $($per day$)$ of the original process?