A hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders by phone at an average of 2 minutes per order. The manger then send the order to the kitchen, where it takes a cook an average of 16 minutes to prepare the food for each order. There are four cooks in the kitchen. The room service manager also sends the beverage included in the order to the bar at the same time the order is sent to the kitchen (that is, parallel processes). It takes 3 minutes for a bartender to fill the order. When the kitchen and bar orders are both ready. A waiter takes them to the room and bills the guest. There are six waiters to provide the service, and each order takes 20 minutes for the waiter to complete. Required:
a. What is the capacity of the process, and what is the bottleneck?
b. What is the throughput time of a typical order?
c. Assume that on Friday evenings an average of 10 room-service orders per hour are placed. How many orders are in the system on average on Friday nights?

5. understanding marginal and average tax rates consider the economy of citronia, where citizens consume only oranges. assume that oranges are priced at $1 each. the government has devised the following tax plans: plan a • consumption up to 1,000 oranges is taxed at 50%. • consumption higher than 1,000 oranges is taxed at 20%. plan b • consumption up to 2,000 oranges is taxed at 15%. • consumption higher than 2,000 oranges is taxed at 60%. use the plan a and plan b tax schemes to complete the following table by deriving the marginal and average tax rates under each tax plan at the consumption levels of 300 oranges, 1,200 oranges, and 3,000 oranges, respectively. consumption level plan a plan b (quantity of oranges) marginal tax rate average tax rate marginal tax rate average tax rate (percent) (percent) (percent) (percent) 300 1,200 3,000 complete the following table by indicating whether each plan is a progressive tax system, a proportional tax system, or a regressive tax system. progressive proportional regressive plan a plan b