A company rents moving trucks out of two locations: Tucson and
Memphis. Some of their customers rent a truck in one city and
return it in the other city, and the rest of their customers rent
and return the truck in the same city. The company owns a total of 600 trucks.The company has seen the following trend:
About 40 percent of the trucks in Tucson move to Memphis each week.
About 55 percent of the trucks in Memphis move to Tucson each week.
Suppose right now Tucson has 220 trucks.How many trucks will be in each city after 1 week? [Round answers to the nearest whole number.]
Tucson:
Memphis:
How many trucks will be in each city after 3 weeks? [Round answers to the nearest whole number.]
Tucson:
Memphis:
If the vector →t=[x1x2]t→=[x1x2] represents the distribution of trucks, where x1x1 is the number in Tucson and x2x2 is the number in Memphis, find the matrix AA so that A→tAt→ is the distribution of trucks after 1 week
A=