19.03.2023 - 11:04

During the month of January, ABC Appliances sold 33 microwaves, 18 refrigerators, and 36 stoves, while XYZ Appliances sold 56 microwaves, 29 refrigerators, and 43 stoves. During the month of February, ABC Appliances sold 28 microwaves, 29 refrigerators,

During the month of January, ABC Appliances sold 33 microwaves, 18 refrigerators, and 36 stoves, while XYZ Appliances sold 56 microwaves, 29 refrigerators, and 43 stoves.

During the month of February, ABC Appliances sold 28 microwaves, 29 refrigerators, and 33 stoves, while XYZ Appliances sold 29 microwaves, 15 refrigerators, and 32 stoves.

(a) Write a matrix summarizing sales for January.

(a) Write a matrix summarizing sales for February.

(c) Use matrix addition to find a matrix summarizing total sales.

Answers (1)
  • AmFiTaMiN
    April 6, 2023 в 14:40

    (a) The matrix summarizing sales for January is:

    MicrowavesRefrigeratorsStoves
    ABC Appliances331836
    XYZ Appliances562943

    The rows of the matrix represent the two appliance stores, while the columns represent the different types of appliances sold.

    (b) The matrix summarizing sales for February is:

    MicrowavesRefrigeratorsStoves
    ABC Appliances282933
    XYZ Appliances291532

    Again, the rows represent the two appliance stores, while the columns represent the different types of appliances sold.

    (c) To find a matrix summarizing total sales, we can simply add the matrices from January and February element-wise. This gives:

    MicrowavesRefrigeratorsStoves
    ABC Appliances614769
    XYZ Appliances854475

    In other words, ABC Appliances sold a total of 61 microwaves, 47 refrigerators, and 69 stoves over the two months, while XYZ Appliances sold a total of 85 microwaves, 44 refrigerators, and 75 stoves.

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