both the average flow rate and average flow time of a process are increased by 50%. what will be the percentage change in the average number of units in the process?

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10-11-2022
Business

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both the average flow rate and average flow time of a process are increased by 50%. what will be the percentage change in the average number of units in the process?

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Qwclear Qwclear · Answer 1 · 2022-11-15T15:48:25+01:00

The percentage change in the average number of units in the process will be equal to 125%.

Percentage may be defined as the method of expressing a particular part of any entity in respect to the total amount of the entity. It is represented by the symbol %. The average flow rate may be defined as the ratio of the total number of readings for a flow rate to the number of readings. According to Little's law, the formula is expressed as

Average inventory = average flow rate × average flow time

Let us assume the Inventory as I, flow rate as R and flow time as T.

So, I = RT

Since, flow rate and flow time are increased by 50% then new flow rate and flow time will be

R' = R + 0.5R = 1.5R

T' = T + 0.5T = 1.5T

So, the new Inventory will be

I' = 1.5R × 1.5T = 2.25RT

Now, the formula for percentage change will be (New value - Old value) × 100

Percentage change = (I' - I) × 100

Percentage change = (2.25RT - RT) × 100

Percentage change = 1.25RT × 100

Percentage change = 125%

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