Given the following mathematical representation:

Min $e^x+y$

$s.t.e^{x}y$

$,x^{10}x{x}^{up}$

$,y^{10}y{y}^{up}$

$-3-$

ES$604$ Engineering Optimization

Assignment #$1$

Due: $14/08/2024$ at $03$:$30$ p$.$m$.$

i$)$ How can you represent it in linear terms and still capture all the necessar find the solution of the original problem? $($Assume $x$ and $y$ to be greater thar

ii$)$ Draw a schematic of the original program and the transformed program $x^{up}=1,y^{10}=1,y^{up}=4.$ please plot the schematic representation of both the cases