A coffee shop is analyzing its resource usage to improve efficiency. The shop finds that the amount of coffee beans needed increases with the number of cups of coffee made. The brewing time for a batch of 100 cups of coffee is reduced as more brewing machines are used. If one machine takes 30 minutes to brew the batch, the time decreases with the use of additional machines.A coffee shop is analyzing its resource usage to improve efficiency. The shop finds that the amount of coffee beans needed increases with the number of cups of coffee made. The brewing time for a batch of 100 cups of coffee is reduced as more brewing machines are used. If one machine takes 30 minutes to brew the batch, the time decreases with the use of additional machines.
Q. A coffee shop is analyzing its resource usage to improve efficiency. The shop finds that the amount of coffee beans needed increases with the number of cups of coffee made. The brewing time for a batch of 100 cups of coffee is reduced as more brewing machines are used. If one machine takes 30 minutes to brew the batch, the time decreases with the use of additional machines.(a) If 3 brewing machines are used, how long will it take to brew 100 cups of coffee, assuming the same batch size and efficiency?(b) How many brewing machines are required to brew 100 cups of coffee in 15 minutes?
Calculate time with 3 machines: (a) Calculate the time with 3 machines. Time with 1 machine = 30 minutes. Time with 3 machines = 330=10 minutes.
Calculate machines for 15 minutes: (b) Calculate the number of machines needed for 15 minutes. Time with 1 machine =30 minutes. Machines needed =1530=2 machines.