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PROBLEM

b) During July, the Cincinnati outlet sells 19 sinks, 17 faucets, and 17 tubs. The Cleveland outlet sells 28 sinks, 29 faucets, and 23 tubs. Create a 3×23 \times 2 matrix to reflect the July sales by filling in the matrix below. The rows and columns of the matrix are already labeled.

STEP 1

1. We need to create a matrix that represents the sales data for two outlets.
2. The matrix will have three rows corresponding to the products: sinks, faucets, and tubs.
3. The matrix will have two columns corresponding to the locations: Cincinnati and Cleveland.

STEP 2

1. Identify the sales data for each product at the Cincinnati outlet.
2. Identify the sales data for each product at the Cleveland outlet.
3. Fill in the matrix with the identified sales data.

STEP 3

Identify the sales data for the Cincinnati outlet:
- Sinks: 19
- Faucets: 17
- Tubs: 17

STEP 4

Identify the sales data for the Cleveland outlet:
- Sinks: 28
- Faucets: 29
- Tubs: 23

SOLUTION

Fill in the matrix with the sales data:
[SinksCincinnati: 19Cleveland: 28FaucetsCincinnati: 17Cleveland: 29TubsCincinnati: 17Cleveland: 23]\begin{bmatrix} \text{Sinks} & \text{Cincinnati: } 19 & \text{Cleveland: } 28 \\ \text{Faucets} & \text{Cincinnati: } 17 & \text{Cleveland: } 29 \\ \text{Tubs} & \text{Cincinnati: } 17 & \text{Cleveland: } 23 \\ \end{bmatrix} The completed 3×23 \times 2 matrix is:
[192817291723]\begin{bmatrix} 19 & 28 \\ 17 & 29 \\ 17 & 23 \\ \end{bmatrix}

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