(SET E) For each of the following problems, correctly apply matrix algebra concepts to solve each situation. Correctly use mathematical notation and remember to justify each of the required mathematic

voice MATH 2080 Midterm 4.2: Aplicacion de matrices 3. Alicia and Nick attend ABC College and XYC University, respectively. The number of credit-hours Valor: SOpts taken and the cost per credit this year is presented in the following table. ABC XYZ Cost hour- credit (SET E) Alicia 12 6 UBC 100.00 Nick 12 XYZ 550.00 For each of the following problems, correctly apply matrix algebra concepts to solve each situation. Correctly use mathematical notation and remember to justify each of the required mathematical Using matrix algebra: processes. Express the solution in the context of the situation. In the event that the result is a decimal, you will round it to two decimal places. a] determine matrix A, which represents the number of credit-hours taken by each student b) determine matrix B, of the cost per student per credit-hour 1. A company produces soft drinks that come in three different flavors: apple, orange, and c) determine the product AB, and strawberry, and two different containers: bottle and can. Below are two tables that summarize d) interpret the result the company's total sales between last month and this month. Bottles Apple Orange Raspberry Last month sodas 130 86 246 4. Beverages were sold to men, women, and children at a school basketball game in the quantities Current month sodas 168 90 224 and prices shown in Figures 1 and 2 Figure 1 Can Apple Orange Raspberry Amounts Last month sodas 169 86 Coffee MILL Current month sodas Cola 151 76 212 Men 250 15 300 Women 200 35 200 Children Write two arrays to represent last month's sales and this month's sales. Then, apply matrix algebra 2 100 SDO concepts to find the average sales of each flavor and package of soda over the 2-month period. (5 points) Figure 2 2. A health insurance company wishes to establish a prevention program for the community. Price Among the variables taken into account is the life expectancy of people in rural and urban areas. Coffee $0.75 as presented in the following table: Milk $1.DO Urban Area Cala Rural Area $1 50 Year Men Women Men Women 1980 62.1 66.E 51 1 4512 Calculate how much money they spent: 2000 67.4 74.1 51.1 67.4 2004 70.7 78.1 63.8 72.5 a) men 2006 74.9 80.1 68.3 75.2 b| women 2008 75.1 80.3 68.7 75.6 2010 75.7 69 5 7613 cl children Construct a matrix W containing the life expectancy for the urban area and a matrix B for the life expectancy for the rural area. Apply matrix algebra concepts to find the difference between urban and rural areas. What can you conclude from this result