PLEASE SHOW WORK Food Goblin Supermarkets use both cashiers and baggers to serve

Question

PLEASE SHOW WORK

Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the first 7 hours of each workday (Monday-Friday), 3 cashiers and 2 baggers serve approximately 19 customers per hour. A cashier and a bagger who require approximately 4 minutes at checkout and 2 minutes at bagging serve each customer.

a. The utilization of cashiers is ______%. (Enter your response rounded to one decimal place.)

The utilization of the baggers is ______%

b. Assume it takes 13 minutes for one individual to both cash out and bag each others customers groceries. Calculate the utilization of this new group of 7 cross trained employees. (Both baggers anf cashiers are cross trained) The utilization of a cross trained employees is ______%

Explanation / Answer

a)

Capacity of Cashiers = 3 cashier hours

Actual output of Cashiers = 19 customers per hour * 4 minutes per customer = 76 customer minutes

Utilization of Cashier = Output / Capacity = 76 customer minutes / (3*60) = 42.2 %

Capacity of Baggers = 2 bagger hours

Actual output of Cashiers = 19 customers per hour * 2 minutes per customer = 38 customer minutes

Utilization of Cashier = 38 customer minutes / (2*60) = 31.7 %

b) Capacity of new cross-trained employees = 7 employee hours

Actual output = 19*13 = 247 customer minutes

Utilization of a cross trained employee = 247 / (7*60) = 58.8 %

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