Question

At a certain electronics company, the daily output Q is related to the number of people A on the assembly line by Q=600+√(A+41). Determine how many people are needed on the assembly line if the daily output is to be 621.

Answer 1

`A=400\ people`

Explanation:

we have

`Q=600+√(A+41)`

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

`621=600+√(A+41)`

Subtract 600 both sides

`621-600=√(A+41)`

`21=√(A+41)`

squared both sides

`21^(2) ={A+41}`

`441={A+41}`

Subtract 41 both sides

`441-41=A`

Rewrite

`A=400\ people`