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(See Steps) 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

Question: 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.

H T

H T

Bears

Chargers

Tigers

Blue jays

Week 2

Week 1

Bears

Chargers

Tigers

Blue jays

\(\left[ \begin{matrix} 15 \\ 10 \\ 10 \\ 20 \\ \end{matrix}\text{ }\begin{matrix} 30 \\ 20 \\ 50 \\ 35 \\ \end{matrix} \right]=A\) \(\left[ \begin{matrix} 10 \\ 7 \\ 12 \\ 5 \\ \end{matrix}\text{ }\begin{matrix} 25 \\ 32 \\ 39 \\ 20 \\ \end{matrix} \right]=B\)
  1. 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?

C. By the end of the third week, the totals were as follows:

H T

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? Final answer must be given in matrix form. Show all work to receive full credit.

Bears

Chargers

Tigers

Blue jays

Total at the end of Week 3

\(\left[ \begin{matrix} 30 \\ 25 \\ 22 \\ 27 \\ \end{matrix}\text{ }\begin{matrix} 63 \\ 70 \\ 95 \\ 58 \\ \end{matrix} \right]=C\)

D. Which baseball team won the contest?

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