Problems:
1. To raise money, the local baseball teams decided to sell team logo hats (H) and T-shirts (T). The league director decided to hold a contest among the teams to see which team can raise the most money. The contest lasted for 3 weeks. Here are the results of the first 2 weeks. The numbers represent the number of hats and T-shirts sold.
A. How much of each item had the teams sold by the end of the second week. Use matrices to solve the problem. Final answer must be given in matrix form. Show all work to receive full credit.
B. Which team had sold the most items at the end of the second week, and how many total items did they sell?
C. By the end of the third week, the totals were as follows:
If the team makes a $0.50 profit on each hat it sells and a $2.00 profit on each T-shirt,how much profit did each team make?
D. Which baseball team won the contest, and what was their total sales?
2. Use augmented matrices to solve the following systems of equations. Show all work to receive full credit. Final answer must be given in matrix form.
A. 3x+4y = 11
x+3y = 2
B. x - 3y = 5
4x -12y = 13