Question

At a certain electronics company, the daily output Q is related to the # of people on the assembly line by Q = 400 + 10 sqrt(A + 25)
(a) determine output if there are 44 people on the assembly line.
(b) determine how many people are needed on the assembly line if the required daily output is 520.

Answer 1

\[Q = 400 + 10 \sqrt{(A + 25)}\]
a) A=44, so:
\[Q = 400 + 10 \sqrt{(44 + 25)} = 400 + 10\sqrt{69}\approx483.07\]
b) Q = 520, so:
\[520 = 400 + 10 \sqrt{(A + 25)}\]
\[120= 10 \sqrt{(A + 25)}\]
\[12= \sqrt{(A + 25)}\]
\[A + 25 = 144\]
\[A = 144 -25=119\]