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.

Question

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.

Answer 1

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.