According to Littles Law, if the arrival rate increases, while the time people spend in the system remains the same, which of the following is the result?

a) The number of people in the system increases

b) The number of people in the system decreases

c) The number of people in the system stays the same

d) We need more information to answer this question

Lets say that over time, a firm is able to linearly decrease the processing time at certain process step. Assuming everything else (including the job arrival rate) stays the same, what happens to the utilization of that stage? (Assume that utilization always remains below 100%).

a) utilization also decreases linearly.

b) utilization stays the same.

c) utilization increases linearly.

d) utilization increases exponentially.

Please explain why the answer is what it is.