The average annual wage (in thousands of dollars) for teachers in a country at various grade levels is shown in matrix W. A small school district has both city schools and county schools; matrix N shows the number of teachers in each. Complete parts (a) through (c) below. Preschool and Kindergarten Elementary and Middle School Secondary School City County (a) Find the matrix product NW. Write the expression to obtain the first row and first column of the product NW, using the entries of N and W. (Do not perform the calculation.) Preschool and Kindergarten 27 4 Wage (thousands) 35 61 49 Elementary and Secondary Middle School School 42 9 58 11 |=W Finish calculating the product NW. NW = (Type an integer or simplified fraction for each matrix element.) (b) Explain what NW represents. The rows represent and the columns represent the (c) According to matrix NW, what is the total cost of teacher wages in city schools? In county schools? In the entire school district? The cost of teacher wages in city schools is $thousand. The cost of teacher wages in county schools is $thousand. The cost of teacher wages in the entire district is $ thousand. =N