A line search found that fa has a minimum when a = 531×10^-4 If the value of ais kept at this level what is the consequence for this optimization technique

If the value of a is kept at the level where f(a) has a minimum, then the optimization technique will not be able to find a better solution. This is because a line search is a method that finds the minimum of a function by searching along a line in the direction of the gradient. If the minimum has already been found, then continuing the search along the same line will not yield a better solution. Therefore, the optimization technique will stop at this point and return the value of a as the optimal solution.