Question

Question6 An open-topped water tank is to be made of sheet metal so that it has a volume of 32 m3. It is to have a square base of side x metres and vertical sides of height h metres. (a) Using the Lagrange multiplier method, find values of x and h such that the amount of sheet metal used is minimised. (5 marks) (b) Show that the solution in part (a) satisfies the second order conditions for a local minimum. (3 marks) (c) Interpret lambda () from part (a). (2 marks)

Answer 1

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