Constrained Optimization

Objective: OBJECTIVE: In this challenge, we will find minimum value of the given function which is constrained by other function. SOLUTION: Given: `f(x,y)=5-(x-2)^2-2(y-1)^2` constrained to `x+4y=3` Optimization: `g(x,y)=5-(x-2)^2 -2(y-1)^2+lamda(x+4y-3)` `(partialg)/(partialx)=0;` `implies -2(x-2)+lamda=0`----->(A) `(partialg)/(partialy)=0;`…