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A clerk counted 13 small baseball caps, 36 medium baseball caps, and 27 large baseball caps on the store shelves. She also counted 10 small baseball caps and 15 medium baseball caps in the stockroom.
Organize the data in a matrix. Name the matrix B. Label the rows and columns.
Each baseball cap sells for $19. Create the matrix that shows the total value of each cap size in each location. Show your work.

Respuesta :

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

How to define the matrix B?

The matrix B is defined considering that it will have three rows and three columns, as follows:

  • Row 1: Number of each type of cap on the store shelves.
  • Row 2: Number of each type of cap on the stockroom.
  • Row 3: Total number of each type of car -> Row 1 + Row 2.
  • Column 1: Small caps.
  • Column 2: Medium caps.
  • Column 3: Large caps.

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

More can be learned about matrices at https://brainly.com/question/2456804

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