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The standard weight of a special purpose brick is and it must contain two basic ingredients and …

Mathematics20234 marksShort answer
The standard weight of a special purpose brick is $5\text{ kg}$ and it must contain two basic ingredients $B_1$ and $B_2$. $B_1$ costs ₹ $5$ per kg and $B_2$ costs ₹ $8$ per kg. Strength considerations dictate that the brick should not contain more than $4\text{ kg}$ of $B_1$ and minimum $2\text{ kg}$ of $B_2$. Since the demand for the product is likely to be related to the price of the bricks, find the minimum cost of the brick satisfying the above conditions. Formulate this situation as an L.P.P. and solve it graphically.

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Linear Programming

From ISC 2023 Specimen Mathematics Paper 1, question 22(ii).