$(10$ points$)$ Consider a bagel store selling three types of bagels that are produced according to the process flow diagram outlined below. We assume the demand is $180$ bagels a day, of which there are $30$ grilled cheddar & veggie, $110$ veggies only, and $40$ cream cheese. Assume that the workday is $10$ hours long and each activity is staffed with one worker. $)$ Where in the process is the bottleneck for each kind of bagel? Where is the bottleneck for the product mix? Is it possible to satisfy the demand for the whole day? $(5$ points$)$ b$)$ Given the product mix, how many units can the process produce within one hour? $(5$ points$)$ Q$2.(15$ points$)$ The market at the UBC farm every Saturday morning off