Posted by kIM on Monday, July 11, 2011 at 12:31am.
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!  Henry, Tuesday, July 12, 2011 at 8:03pm
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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