Chapter 9, Problem 2CP

This is a tilt and rotation question. Here are notes attached for reference. I prefer handwritten solutions. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE. I prefer handwritten solutions.(If you had once answered this question don't answer it as I am looking for a different solution)

3- Find the optimum of y = 9x - 0.1x ^ 2 in the interval 0 <= x <= 100 and alpha = 0.05   Use two and three experiments sequential search methods?

1- A manufacturing company is optimizing the cooling time of a newly developed plastic molding process. The goal is to minimize the total production cost, which depends on the cooling time (t) in minutes. The production cost (C, in dollars) is given by: C=50+10(t)-0.5(t)^2 where: 5 st≤ 20 (cooling time in minutes) Using the Two-Experiments Sequential Method (up to five cycles) find the optimal cooling time (t) that minimizes the production cost. 3:29 م