Question

Orchid provides quick project solutions. Clients send projects to Orchid via their web page and a employees develop the needed project solutions as quickly as possible. Orchid has five employees who do all of the solutions. On average, a project arrives once every 7 hours, with a standard deviation of 10.5 hours. Each project is assigned to one employee and that employee takes on average 30 hours to complete each project, with a standard deviation of 45 hours. How many uncompleted projects does Orchid have in the system on average at any given time?

Answer 1

the uncompleted projects done in the system on average is 0.071

Step-by-step explanation:

The computation of the uncompleted projects done in the system on average is shown below

Lq = λ^2 ÷ [µ (µ - λ)]

where,

λ = 7 hours

µ = 30 hours

So,

Lq = 7^2 ÷ [30 (30 – 7)]

= 49 ÷ [30 × 23]

= 0.071

hence, the uncompleted projects done in the system on average is 0.071

We simply applied the above formula so that the correct value could come

And, the same is to be considered