1. (a) (b) Let f: R→ R. Explain how to obtain stationary points. [2 marks] = The profit f(x) of a quantity is given by f

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1 A B Let F R R Explain How To Obtain Stationary Points 2 Marks The Profit F X Of A Quantity Is Given By F 1 (156.55 KiB) Viewed 52 times

1. (a) (b) Let f: R→ R. Explain how to obtain stationary points. [2 marks] = The profit f(x) of a quantity is given by f(x) = R(x) — C(x). R(x) is known as the revenue given by R(x) = px and C(x) is the production cost given by C(x) 1 x³ - 25x² +100x-20. Determine the stationary points for the case when = 3 Find the maximum profit and the maximiser point given that x > 0. - 3y [8 marks] Let f: R² → R be a scalar valued function. State the condition for f to be concave and use a diagram to illustrate possible local and global maximum and/or minimum. [2 marks] Identify the stationary points and determine a local maximum of the function 1 f(x,y) = 20x² − 8x² + [8 marks]