MHT CET 2023 Mathematics question
A tank with a rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 4 meter and volume is 36 cubic meters. If building of the tank costs ₹ 100 per square meter for the base and ₹ 50 per square meter for the sides, then the cost of least expensive tank is
Answer: (B)
Solution
Let the base be metres. Volume . Base cost =100\times9=₹900. The four sides have total area , costing . Total cost . For , is least when ,
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