Suppose you are the manager of a plant and trying to figure out the optimal temperature setting,

T$,$ of a cooling water system. You are aware that the quality of the finished job, Q$,$ depends on the

value of T in a unimodal fashion and should be between $10$o

and $70$

o Celsius, but you don$$t have any

idea about their functional relationship. Assuming trials to be expensive and conducting exhaustive

tests is not a viable option, which computer optimization technique would you choose to find the

optimal setting for T that would maximize Q$?$ Please justify your answer very briefly.