$($Bagel Store$)$ Consider a bagel store selling three types of bagels that are produced accord$-$

ing to the process flow diagram outlined below. We assume the demand is $180$ bagels a

day, of which there are $30$ grilled veggie, $110$ veggie only, and $40$ cream cheese. Assume

that the workday is $10$ hours long and each resource is staffed with one worker.