6. (a) Maximise f (r, y) = 2r + y subject to 2a2 + y = 1 (b) Minimize f(r, y) = 2r + y subject to 2x² + y = 1 (c) Draw a graph in the two dimensional (r, y)-space to show your answers in parts (a) and (b). Explain each step towards the construction of the graph. (d) How would your answers to parts (a) and (b) change if z and y are required to be non-negative? Explain.

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Q: a. Solve max f(x, y, z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

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Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

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