Cost of College John and Marsha take classes in Fall 2010 at both Joliet Junior College

Chapter 3, Problem 61

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Cost of College John and Marsha take classes in Fall 2010 at both Joliet Junior College (JJC) and Chicago State University (CSU). John takes 12 credit hours at JJC and 4 credit hours at CSU, while Marsha takes 8 credit hours at each school. The cost per credit hour at JJC is $103 and at CSU is $249. (a) Write a matrix A that gives the credit hours each student is taking at each school and a matrix B that gives the cost per credit hour at each school. Be sure to name the rows and columns and be sure that the columns of A are named the same as the rows of B. (b) What is the dimension of A? (c) What is the dimension of B? (d) Find the product AB. (e) What is the dimension of AB? What are the names of its rows and columns? (f) Interpret the entries in AB. Source: Each schools website

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