# Question: Starting from the initial trial solution x1 x2 0

Starting from the initial trial solution (x1, x2) = (0, 0), interactively apply two iterations of the gradient search procedure to begin solving the following problem, and then apply the automatic routine for this procedure (with ϵ = 0.01).

Maximize f(x) = 6x1 + 2x1 x2 - 2x2 - 2x21 - x22.

Then solve ∆f(x) = 0 directly to obtain the exact solution.

Maximize f(x) = 6x1 + 2x1 x2 - 2x2 - 2x21 - x22.

Then solve ∆f(x) = 0 directly to obtain the exact solution.

## Answer to relevant Questions

Starting from the initial trial solution (x1, x2) = (0, 0), apply one iteration of the gradient search procedure to the following problem by hand: Maximize f(x) = 4x1 + 2x2 + x21 - x41 - 2x1x2 - x22. To complete this ...Reconsider the model given in Prob. 13.3-3. What are the KKT conditions for this model? Use these conditions to determine whether (x1, x2) = (0, 10) can be optimal. What are the KKT conditions for nonlinear programming problems of the following form? Minimize f(x) Subject to gi(x) ≥ bi, for i = 1, 2, . . . ,m and x ≥ 0, Consider the following function: f (x) = 48x – 60x2 + x3. (a) Use the first and second derivatives to find the local maxima and local minima of f (x). (b) Use the first and second derivatives to show that f (x) has neither ...The Dorwyn Company has two new products that will compete with the two new products for the Wyndor Glass Co. (described in Sec. 3.1). Using units of hundreds of dollars for the objective function, the linear programming ...Post your question