Question

State the type of the following optimization problems: i). max exp(-x) subject to - 2 < x < 5 ii). min (x2 + y2), (x – 2), (y - 3)3 iii). max 2x + 3y subject to x > 0,0 < y < 10, y > x iv). min x²y6 subject to x2 + y2/4 = 1 v). Design a quieter, more efficient, low cost car engine vi). Design a software package to predict the stock market.

I need the solution to that question. thank you so much.

Answer 1

Answer

i) max exp(-x²) subject to -2 < x < 5 : Constrained Optimization

Algorithm required: Substitution method

ii) min (x² + y²) , (x-2)² , (y-3)² : Unconstrained Optimization

Algorithm required: Newton's Method

iii) max 2x +3y subject to x > 0 , 0 < y < 10 , y > x : Constrained Optimization

iv) min x²y⁶ subject to x² + y²/4 = 1 : Constrained Optimization

Algorithm required: Lagrangian Multiplier

v) Design a quiter , more efficient, low cost car engine : It a type of Multilevel and one-criterion optimization systems are used for automobiles

vi) Design a software package to predict the stock market : It a type of Program optimization or Software optimization