June 2006
Beginner
793 pages
20h 59m
English
Content preview from Quantitative Techniques: Theory and Problems
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BLENDING PROBLEMS
Problem 1.80
A refinery makes 3 grades of petrol (A, B, C) from 3 crude oils (d, e, f,). Crude can be used in any grade but the others must satisfy the following specifications
| Grade | Specification | Selling price per litre |
| A | Not less than 50% crude d | 16 |
| Not more than 25% crude e. | ||
| B | Not less than 25% crude d | 13 |
| Not more than 50% crude e | ||
| C | No specifications | 11 |
There are capacity limitations on the amounts of the three crude elements that can be used.
| Crude | Capacity | Price/litre |
| d | 2,50,000 | 19 |
| e | 2,50,000 | 11 |
| f | 1,50,000 | 13 |
Build a LPP to produce the maximum profit.
Solution
| Let there be | x1 litres of d in A |
| x2 litres of e in A | |
| x3 litres of f in A | |
| y1 litres of d in B |
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