June 2006
Beginner
793 pages
20h 59m
English
Content preview from Quantitative Techniques: Theory and Problems
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DIET PROBLEM
Problem 1.78
The vitamins V and W are found in two different foods, F1 and F2. The respective prices per unit of each food are Rs. 3 and Rs. 2.5. One unit of F1 contains 2 units of vitamin V and 3 units of vitamin W. Similarly one unit of F2 contains 4 units of vitamin V and 2 units of vitamin W. Daily requirements of vitamin V is at least 60 units and vitamin W at least 75 units.
The problem is to determine optimal quantities of foods F1 and F2 to be bought so that the daily vitamin requirements are met and, simultaneously the cost of buying the foods is minimised.
Solution
Let x1 and x2 be the quantities of F1 and F2 respectively.
| Minimise 3x1 + 2.5x2 | ||
| Subject to 2x1 + 4x2 ≥ 60 | (Minimum Requirements of Vitamin V) | |
| 3 | ||
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