Table A: Inventory Stock Product Store A Store B Store C X 543 356 643 Y 364 476 419 Z 376 903 409 Table B: July Unit Sales Product Store A Store B Store C X 102 78 97 Y 98 87 59 Z 54 89 79 Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July. If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is . In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is .

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.