Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the first $5$ hours of each workday$($Monday$-$Friday$),6$ cashiers and $3$ baggers serve approximately $21$ customers per hour. A cashier and a bagger who require approximately $8$ minutes at checkout and $6$ minutes at bagging serve each customer.

Part $2$

a$.$ The utilization of cashiers is $$enter your response here$\%.($Enter your response rounded to one decimal$$ place.$)$

Part $3$

The utilization of baggers is $$enter your response here$\%.($Enter your response rounded to one decimal$$ place.$)$

Part $4$

b$.$ Assume that both baggers and cashiers are$$ cross$-$trained to perform both activities so that they can serve customers independently. Customers are now both checked and their groceries bagged by one individual.$$ Further, assume that it takes $15$ minutes for one individual to both cash out and bag each$$ customer's groceries. Calculate the utilization of this new group of $9$cross$-$trained employees.

The utilization of a$$ cross$-$trained employees is $$enter your response here$\%.($Enter your response rounded to one decimal$$ place.$)$