4. a. 2 It is required to optimize the following function, f(x1, X2, X3) = x1x2x3? Constrained by the following relation

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4 A 2 It Is Required To Optimize The Following Function F X1 X2 X3 X1x2x3 Constrained By The Following Relation 1 (23.14 KiB) Viewed 29 times

4. a. 2 It is required to optimize the following function, f(x1, X2, X3) = x1x2x3? Constrained by the following relationship x1 - x2 + x3 = 20 i. Determine all the critical values which will ensure f (x1, X2, X3) is optimized [5] ii. What is the optimal value of f(x1, X2, X3)? [2] iii. Determine whether your value in (I) is a maximum, minimum or saddle point [6] iv. How would the optimal value you calculated in (ii) change if the constraint changes from 20 to 10? [4]