Hello, I need to use a matrix to solve this but am stumped on how to do it. All I need is a little nudge to push me in the right direction. Please help. Thank you
You have been hired as a consultant for Crazy Al’s Car Rentals, a new car rental agency in the city of Metropolis. Crazy Al’s Car Rentals has a total of 2500 cars that it rents from three locations within the city: A, B, c.

Your research has shown the following weekly rental and return patterns:

• 85% of customers who rent from A return their cars to A

• 10% of customers who rent from A return their cars to B

• 80% of customers who rent from B return their cars to B

• 10% of customers who rent from B return their cars to A

• 10% of customers who rent from C return their cars to A

• 5% of customers who rent from C return their cars to B

Crazy Al, the owner of Crazy Al’s Car Rentals, has hired you to determine how many of his cars should be at each of his three locations at the start of each week so that the same number of cars will be there at the end of the week (and hence at the start of the next week).

Use what you have learned about systems of equations and matrices to set up a system of equations representing this situation and solve this problem. Then prepare a brief report outlining your work, your methods, and your findings for Crazy Al.

  1. 👍 0
  2. 👎 0
  3. 👁 98
asked by Andres

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is

    asked by sunday on March 15, 2014
  2. math,algebra II

    I have to work with these types of problems dealing with matrises can someone show me how to solve them.Heres one of them: Directions: Find the values of the variables in each equation in the first matrix it looks like this a+2

    asked by jas on June 6, 2007
  3. Algebra II (Matrices)

    My book doesn't solve it like a linear equation, they solve it by using inverse matrices. Solve the matrix equation: |4 -5||m|=|32| |1 2| |n|=|-5| A= |4 -5| |1 2| X= |m| |n| B= |32| |-5| Step 1. Find the inverse of the coefficient

    asked by Jon on February 29, 2008
  4. Maths: Algebra Matrices Class 12th

    matrix{{0, 1, -1}, {2, 1, 3}, {1, 1, 1}} matrix{{1, -1, x}} matrix{{0}, {1}, {1}}=0 Find the value of x Don't give me the direct answer. Please tell me how to go about this. Draw in your notebook and then solve

    asked by Akash on April 11, 2011
  5. maths

    2 . Put the following macroeconomic model into matrix format using Y, C and T as the variables and find the determinant of the matrix of coefficients. There is no need to solve the equations. Y = C + I C = a + b (Y – T) T = tY

    asked by Asfand on November 30, 2016
  6. Math

    Hi! I need help with these two questions. Thanks! :) 1.) Can we multiply the Matrix A (which is 3 x 4 matrix) by the other matrix, Matrix B (which is 3 x 4 matrix)? True Or False? 2.) When we multiply the 6 x 3 matrix by the 3 x 1

    asked by Emily on March 26, 2015
  7. Math (matrices)

    No one answered my matrix question. Let me rephrase: Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible and 0 is all zeroes, what is the inverse of the matrix [A|0] [B|A] (that is a 4x4 matrix represented as 4 2x2

    asked by James on November 16, 2006
  8. Algebra2(check part 1)

    1)Solve the matrix:[2x] [14]for x [3y]=[12] answer=7 2)V[3 1] [0 2] [-4 5].The dimensions of matrix V. answer=3x2 3)The first row of T+U T[4 -5 2] U[-9 6 4] [8 -1 3] [-5 -2 3] answer=[-5 1 6] 4)The first row of V-T. V[3 1] T[4 -5

    asked by erin on July 28, 2007
  9. Algebra

    2. Use an augmented matrix to solve the system. x + y = 5 3x – y = –1 (1 point) (1, 4) (1, 5) (3, –1)*** (5, –1) 3. When converting a system of linear equations into an augmented matrix, what equation form is needed? (1

    asked by Student on January 21, 2019
  10. Math

    Given the following matrix A, find an invertible matrix U so that UA is equal to the reduced row-echelon form of A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. A = 3 3

    asked by valarie on October 21, 2018
  11. Algebra help!

    Please help and I would appreciate an explanation as to how you got to the answer. 1.) Solve the system by triangularizing the augmented matrix and using back substitution. 0.09x-0.15y+0.39 -0.18x+0.35y=-0.88 2.) Solve the system

    asked by Kristen on March 27, 2013

More Similar Questions