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How many of each product could be made ?

A company produces:

copper zinc glass

transistor 3 1 2

resistor 3 2 1

chip 2 1 2

how many of each product can be made if:

copper: 810

zinc:410

glass:490

1 Answer

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  • 1 decade ago
    Favorite Answer

    3x1 + 3x2 + 2x3 = 810

    x1 + 2x2 + x3 = 410

    2x1 + x2 +2x3 = 490

    3x1 + 3x2 + 2x3 = 810

    - 2x1 - 4x2 - 2x3 = - 820

    -----------------------------------

    x1 - x2 = - 10

    x1 + 2x2 + x3 = 410, by - 2

    2x1 + x2 +2x3 = 490

    -------------------------------

    - 2x1 - 4x2 - 2x3 = - 820

    2x1 + x2 + 2x3 = 490

    ------------------------------------

    - 3x2 = - 330

    x2 = 110

    x1 - x2 = - 10

    x1 = 100

    x1 + 2x2 + x3 = 410

    x3 = 410 - 100 - 220

    x3 = 90

    x1 = transistor 100

    x2 = resistor 110

    x3 = chip 90

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