A company rents moving trucks out of two locations: Detroit and Milwaukee. 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 500 trucks. The company has seen the following trend: About 35 percent of the trucks in Detroit move to Milwaukee each week. • About 25 percent of the trucks in Milwaukee move to Detroit each week. Suppose right now Detroit has 330 trucks. If the vector t represents the distribution of trucks, where is the number in Detroit and #2 is ₂ the number in Milwaukee, find the matrix A so that At is the distribution of trucks after 1 week. [Note: You will want to use Sage to complete this problem.] 128 How many trucks will be in each city after 1 week? [Round answers to the nearest whole number.] Detroit: Milwaukee: How many trucks will be in each city after 3 weeks? [Sage makes this one easier. Round answers to the nearest whole number.] Detroit: Milwaukee: Submit Question
A company rents moving trucks out of two locations: Detroit and Milwaukee. 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 500 trucks. The company has seen the following trend: About 35 percent of the trucks in Detroit move to Milwaukee each week. • About 25 percent of the trucks in Milwaukee move to Detroit each week. Suppose right now Detroit has 330 trucks. If the vector t represents the distribution of trucks, where is the number in Detroit and #2 is ₂ the number in Milwaukee, find the matrix A so that At is the distribution of trucks after 1 week. [Note: You will want to use Sage to complete this problem.] 128 How many trucks will be in each city after 1 week? [Round answers to the nearest whole number.] Detroit: Milwaukee: How many trucks will be in each city after 3 weeks? [Sage makes this one easier. Round answers to the nearest whole number.] Detroit: Milwaukee: Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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