$1.($a$)$ Given the current number of customers per hour, what is the amount of excess capacity in the bar, dining room, parking lot, and kitchen? $($b$)$ Calculate the expected total throughput margin for the restaurant per hour, day, and month $($assuming a $26$ day month$).$

$2.($a$)$ Given the expected increase in the number of customers, determine if there is a constraint for any of the four areas of capacity. What is the amount of needed capacity for each constraint? $($b$)$ If there is a constraint, reduce the demand on the constraint so that the restaurant is at full capacity $($assume some customers would have to be turned away$).$ Calculate the expected total throughput margin for the restaurant per hour, day and month $($assuming a $26$ day month$).$

$3.$ Taylor has obtained construction estimates, and to increase the capacity of her bar to $80$ seats and dining room to $120$ seats and kitchen to $25$ meals at the same time would cost $$250,000$ which she could finance for $$5,000$ per month for the next five years. Given your analysis above, prepare a brief recommendation to Taylor regarding expanding the restaurant