Question
what is the optimal condition of u(x1,x2) = ln(x1) + (x2)/2
Answers
GPT 3.5
To find the optimal condition of the function u(x1, x2) = ln(x1) + (x2)/2, we need to find the values of x1 and x2 that maximize or minimize the function.
To do this, we can take partial derivatives of the function with respect to x1 and x2 and set them equal to zero.
∂u/∂x1 = 1/x1 = 0
∂u/∂x2 = 1/2 = 0
However, we cannot set 1/x1 = 0 because it results in an undefined value. Therefore, there is no optimal condition for the function u(x1, x2) = ln(x1) + (x2)/2.
To do this, we can take partial derivatives of the function with respect to x1 and x2 and set them equal to zero.
∂u/∂x1 = 1/x1 = 0
∂u/∂x2 = 1/2 = 0
However, we cannot set 1/x1 = 0 because it results in an undefined value. Therefore, there is no optimal condition for the function u(x1, x2) = ln(x1) + (x2)/2.