30% zinc, 40% tin alloy at minimal cost. The problem is to blend a
new alloy from nine other purchased alloys with different unit
costs as follows
- Matlab A Company Aims To Produce A Lead Zinc Tin Of 30 Lead 30 Zinc 40 Tin Alloy At Minimal Cost The Problem Is T 1 (18.16 KiB) Viewed 11 times
following:
1. the quantity of alloy is to be optimized per unit weight
2. the 30–30–40 lead–zinc–tin blend can be framed as having a
unit weight, i.e., 0.3 + 0.3 + 0.4 = 1 unit weight
3. since there are 9 alloys to be acquired, it means there are 9
quantities to be optimized.
4. there are 4 constraints to the optimization problem:
(a) the sum of alloys must be kept to the unit weight
(b) the sum of alloys for lead must be kept to its
composition.
(c) the sum of alloys for zinc must be kept to its
composition.
(d) the sum of alloys for tin must be kept to its
composition.
30 alloy supplier 1 2 3 4 5 6 7 8 9 lead 10 10 10 40 60 30 30 50 20 zinc 10 30 50 30 30 40 20 40 30 tin 80 60 10 10 40 30 50 10 50 price/unit weight 4.1 4.3 5.8 6.0 7.6 7.5 7.3 6.9 7.3