Chapter 6, Problem 6.135EP

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

2- Find the optimum minimum point of y = x²-6x + 2 in the interval 0 ≤ x ≤ 10 using sequential search method with three experiments. the accuracy a = 0.06. 3- Find the optimum of y = 9x -0.1 x² in the interval 0 ≤ x ≤ 100, and α = 0.05 Use two and three experiments sequential search methods?