Question: (15 points) A trainee is hired by a computer manufacturing company to learn to test a particular part of a personal computer after it comes off the assembly line. The learning curve for an average trainee is given by \[N=\frac{200}{4+21{{e}^{-0.1t}}}\].

(a) How many computers can a trainee be expected to test after 3 days of training? Round answers to the nearest integer.

(b) How may days will it take until an average trainee can be expected to test 30 computers per day? Round answers to the nearest integer.

(c) Does N approach a limiting value as t increases without bound? In other words as time, t, increases what is the upper limit for the number of computers that an average trainee can be expected to test?

Explain.