Compute the capacities of the barista

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Consider a coffee shop. Their menu consists of drip coffee, espresso drinks, and pastries. Currently they have three staff members-one barista and two cashiers. The barista brews the drip coffee and prepares the espresso drinks. The cashiers take the orders and payments, fill the coffee for customers who want drip coffee, and fill the pastry orders. 50% of customers order drip coffee and 40% an espresso drink. 80% of the customers who order a drink also order a pastry, and the remaining 10% only a pastry. Assume that each customer orders no more than one pastry and one drink.

Drip coffee is brewed in batches. The barista takes five minutes to prepare the brew and once ready, one brew can serve 20 customers.

On average, it takes three minutes to prepare one espresso drink.

It takes on average two minutes to take the order and payment of a customer.

It takes the cashier one minute to serve one drip-coffee customer.

Serving a pastry order takes on average two and a half minutes.

  1. Compute the capacities of the barista and the cashier in customers per hour.
  2. What is the maximum number of customers this coffee shop can serve in an hour? Which resource is the bottleneck?
  3. What percentage of the customers need to order pastries for the capacity of the cashier to drop by 20%?

The personnel redefine the work allocation and the barista takes over pouring of the drip coffee orders (assume the original percentage of customers are ordering drinks and pastries). What is the new capacity? Which resource is the bottleneck?

Reference no: EM133682699

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