Orange Computers has a factory in Kansas where it assembles desktops, as well as processes laptops received from an Asian manufacturer. This problem is based upon a simplified process

flow of this factory.

The factory faces a steady daily demand for $10,000$ laptops $5,000$ desktop. The factory operates one shift of $8$ hours each day and has enough inventory to meet all the demand. Desktop orders go through three stages: Assembly, Burn, and Packing. Laptop orders go through two stages: Burn and Packing. These stages having the following features:

$$ Assembly $($Desktops Only$)$: There are $400$ stations each of which assembles one desktop in $30$ minutes. The stations work independently.

$$ Burn $($Laptops & Desktops$)$: There are $600$ stations. Each of the stations writes the software on the computer hard disk, also called a Burn. The ratio of laptops to desktops processed at each of the $600$ stations is the same as the mix dictated by the daily demand $($i$.$e$.,2$:$1).$ A desktop takes $10$ minutes to burn. Since laptop hard disks are slower, a laptop takes $20$ minutes to burn.

$$ Packing $($Laptops & Desktops$)$: There are $200$ packing stations. Each station takes $5$ minutes to pack either a laptop or a desktop.

The following diagram illustrates the process flow in the facility. Although not indicated in the diagram, there may be WIP areas between stations.

Question $6.$ What is the processing capacity of the Assembly stage in desktops per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

$7.$ What is the processing capacity of the Burn stage in total computers $($laptops and desktops$)$ per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$ Hint: You should consider a repeating cycle $($or a production run$)$ at each station according to the demand mix specified in the problem.

Question $8.$ What is the processing capacity of the Packing stage in total computers $($laptops and desktops$)$ per hour? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

Question $9.$ Which station is the bottleneck?

Hint: Remember that not all stages process each product. It is better to calculate utilization of each stage to find the bottleneck.

a$.$ Assembly

b$.$ Burn

c$.$ Packing

d$.$ No bottlenecks