$1.$ Process B: Capacity: $1$ or $6$ products per hour each with $50\%$ probability $-->$ WIP $-->$Capacity: $1$ or $6$ products per hour each with $50\%$ probability. What happens in Process B above if the buffer size increases from $2$ to $10?$

a$)$ Throughput time increases

b$)$ Throughput time decreases

c$)$ Starving increases

d$)$ Throughput rate decreases

e$)$ Nothing changes

$2.$ Assume that there are on average $45$ students in my undergraduate class for every quiz. It took me $90$ minutes to grade all responses to Quiz $1.$ After several Grande Americanos from Starbucks, it took me $50$ minutes to grade all responses to Quiz $2.$ What was the percent change in my productivity?

a$)88\mathrm{.}89\%$

b$)80\%$

c$)-80\%$

d$)44\mathrm{.}4\%$

e$)-44\mathrm{.}4\%$

$3.$ In a pull system, if demand is below capacity, what is the utilization of the slowest machine?

a$)$ Less than $100\%$

b$)100\%$

c$)$ More than $100\%$

d$)$ None of the above