Answer:
a)
,
, b)
,
, 
Step-by-step explanation:
a) The values of the output for steady-state operation are:




b) The formula for linearization is:

The first derivative of the formula evaluated at x = 1 is:


The linearized model is:

The output at x = 2 is presented below:


Linearized model offers reasonable approximations for small intervals.
1st. Find the pattern
Pattern is dividing by 2.
24/2=12
12/2=6
6/2=3
Part A: About 0.21
We will put the wanted outcome (yellow pieces of candy) over the total number of possible outcomes (total pieces of candy).


About 0.21
Part B: About 50
First we will do the same as we did with the yellow pieces of candy, wanted outcomes over possible outcomes.


0.25
Now, we will multiply the total 200 pieces by 0.25 since 0.25 of them are estimated to be green.
200 * 0.25 = 50
I estimate about 50 of the pieces to be green.