MHT CET 2024 Mathematics question
Not in JEE syllabus
A production unit makes special type of metal chips by combining copper and brass. The standard weight of the chip must be at least 5 gms. The basic ingredients i.e. copper and brass cost Rs 8 and Rs 5 per gm. The durability considerations dictate that the metal chip must not contain more than 4 gms of brass and should contain minimum 2 gms of copper. Then the minimum cost of the metal chip satisfying the above conditions is
Answer: (B)
Solution
Let the chip contain g copper and g brass. Minimise subject to , , , . Corner points of the feasible region: with gives ; with gives ; with gives . Values of : at : ; at : ; at
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