## anonymous 5 years ago 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.

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