Susan Smith is asking you a question about the percentage increase in fruit prices from 2017 to 2018 at her favourite fruit market in Parramatta. From the owner, she obtains the prices purchased per week (in kg) and quantities of the three most popular fruits: apples, oranges and lemons. These figures are tabulated below.

	Price per Kg ($)	Quantity (Kg)
	2017	2018	2017	2018
Apples	4.25	4.50	35	40
Oranges	3.00	3.50	20	18
Lemons	5.75	6.00	15	19

Using 2017 as the base year:

i) Calculate the Laspreyes price.

ii) Use the Laspreyes price index to answer Susan's question..

b) Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons onto the plane. Suppose that at a city airport, an average of 18 passengers per hour arrive. To check passengers for weapons, the airport must have a checkpoint consisting of a metal detector and baggage X-Ray machine. A checkpoint can check an average of 1 passenger every 2.5 minutes. Under the assumption that the airport has only one checkpoint,

i) How many passengers, on average, are waiting in line to enter the checkpoint?

ii) What is the total time, on average, a passenger spends at the checkpoint (including waiting in line and being checked?