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148 CHAPTER 4 LINEAR PROGRAMMING APPLICATIONS

Table 4.4 Machine, Labour and Storage Capacities for Bollinger Electronics
Machine Capacity Labour Capacity Storage Capacity
Month (hours) (hours) (square metres)

April 400 300 10 000
May 500 300 10 000
June 600 300 10 000

If the company specifies a minimum inventory level at the end of the three-month
period of at least 400 units of component 322A and at least 200 units of component
802B, we can add the constraints:
s 13 400
s 23 200
Suppose that we have the additional information on machine, labour and storage
capacity shown in Table 4.4. Machine, labour and storage space requirements
are given in Table 4.5. To reflect these limitations, the following constraints are
necessary.

Machine Capacity
0:10x 11 þ 0:08x 21 400 Month 1
0:10x 12 þ 0:08x 22 500 Month 2
0:10x 13 þ 0:08x 23 600 Month 3

Labour Capacity
0:05x 11 þ 0:07x 21 300 Month 1
0:05x 12 þ 0:07x 22 300 Month 2
0:05x 13 þ 0:07x 23 300 Month 3
Storage Capacity

2s 11 þ 3s 21 10000 Month 1
2s 12 þ 3s 22 10000 Month 2
2s 13 þ 3s 23 10000 Month 3
One final set of constraints must be added to guarantee that I m and D m will
reflect the increase or decrease in the total production level for month m. Suppose
that the production levels for March, the month before the start of the current
production scheduling period, had been 1500 units of component 322A and 1000
units of component 802B for a total production level of 1500 + 1000 ¼ 2500 units.

Table 4.5 Machine, Labour and Storage Requirements for Components 322A
and 802B

Machine Labour Storage (square
Component (hours/unit) (hours/unit) metres/unit)

322A 0.10 0.05 2
802B 0.08 0.07 3

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