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MATH- please help!

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The table below shows the number of hours required in each of two departments to make one unit of various products A, B and C. For example, product B requires 1 hour of time in department I and 3 hours in department II.


HOURS REQUIRED PER UNIT OF PRODUCT

DEPARTMENT 1
A=1
B=1
C=9

DEPARTMENT 2
A=1
B=3
C=7

Find the number of units of A, B, and C which could be made if department I has 75 hours available and Department II has 65 hours available. It is necessary that all of the available hours be used.

  • MATH- please help! -

    Dept. 1.

    75/11h = 6 and 9 remainder.

    A = 1h/u * 6 units = 6h.
    B = 1h/u * 6 units = 6h.
    C = 9h/u * 7 units = 63h.
    Total Units = 6 + 6 + 7 = 19.
    Total Hours = 6 + 6 + 63 = 75.



    Dept #2.

    A = 1h/u * 15 units = 15h.
    B = 3h/u * 5 units = 15h.
    C = 7h/u * 5 units = 35h.
    Total Units = 15 + 5 + 5 = 25.
    Total Hours = 15 + 15 + 35 = 65.




    65/11h = 5, and 10 remainder.

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