A toy manufacturer builds three holiday-themed toys, A, B, and C, and keeps track of...

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Calculus

A toy manufacturer builds three holiday-themed toys, A, B, and C, and keeps track of the sales of these three toys over the first three weeks of December. The matrix X below shows the number of each toy sold during each week. The matrix Y shows the price of each toy. A B C Price(S)Week 1 [25 50 15] A [20.00]Week 2 [30 55 10] = X B [5.00] = Y Week 3 [25 60 5] C [40.00]a. Calculate the product matrix XY.b. How would you label each row and column of the product matrix XY? Explain your reasoning.c. The store owner wants to add one more row to the bottom of matrix X showing the number of each toy sold in Week 4 of December. If the owner adds one more row to matrix X with whole number values, will the product matrix XY be defined or undefined? Explain your reasoning.

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A toy manufacturer builds three holiday-themed toys, A, B, and C, and keeps track of the sales of these three toys over the first three weeks of December. The matrix X below shows the number of each toy sold during each week. The matrix Y shows the price of each toy. A B C Price(S)Week 1 [25 50 15] A [20.00]Week 2 [30 55 10] = X B [5.00] = Y Week 3 [25 60 5] C [40.00]a. Calculate the product matrix XY.b. How would you label each row and column of the product matrix XY? Explain your reasoning.c. The store owner wants to add one more row to the bottom of matrix X showing the number of each toy sold in Week 4 of December. If the owner adds one more row to matrix X with whole number values, will the product matrix XY be defined or undefined? Explain your reasoning.