Lemon Scooters assembly process is a simple line flow with three steps: deck assembly, wheel assembly, and packaging. Two types of scooters are made in this line, the Lemon$-$Ultra and the Lemon$-$Street.

The market demand for Lemon$-$Ultra is the same as the market demand for Lemon$-$Street.

In the Deck Assembly step, processing time is $0\mathrm{.}5$ minute per unit for both types of scooters. Currently the production batch size at the Desk Assembly is $50$ units for Lemon$-$Ultra and $100$ units for Lemon$-$Street. The set$-$up time for each batch of Lemon$-$Ultra is $10$ minutes and $30$ minutes for Lemon$-$Street.

In the Wheel Assembly step, processing time is $1$ minute per unit for both types of scooters. Currently the production batch size at the Wheel Assembly is $100$ units for both types of scooters. The wheel assembly tool needs to be replaced before processing each batch. The replacement time is $20$ minutes for both types of scooters $($this is the set$-$up time for each batch$).$

The Packaging step processes scooters unit by unit $($there is no batching in the Packaging step$).$ It takes $0\mathrm{.}5$ minute per unit for both types. $($There is no difference to package either type of scooters.$)$

The plant operates $24$What is the production capacity for Deck Assembly in scooters per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$ hours a day, $7$ days a week.

Question $12)$ What is the production capacity for Deck Assembly in scooters per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500($ANSWER IS NOT $120)$

Question $13)$ What is the production capacity for Wheel Assembly in scooters per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500($ANSWER IS NOT $60)$

Question $15)$ Suppose all three steps process at the bottleneck rate that you calculated $($in other words, the non$-$bottleneck steps slow down and process at the rate of the bottleneck$).$ Assuming that at time t$=0,$ there is a finished batch from Wheel Assembly and just arrived the Packaging station. Thus, the WIP buffer in front of Packaging station starts a maximum level of $100$ units at t$=0$ and decreases at the bottleneck rate. What is the average time in hour that a scooter is spent in the WIP buffer?

If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.($ANSWER IS NOT $0\mathrm{.}883)$

Question $16)$ In order to improve the system capacity, the management has studied the wheel assembly step. After improving the assembly method, the replacement time for the assembly tool reduces from $20$ minutes to $10$ minutes, whereas the processing time per unit reduces from $1$ minute to $0\mathrm{.}5$ minutes. What is the system capacity in scooters per hour after this improvement?

If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

Hint: You need to check which step is the new bottleneck. $($ANSWER IS NOT $120)$

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