Given:             f(x, y) = 2xy + 1.5y – 1.25x² – 2y²

Construct and solve a system of linear algebraic equations that maximizes f(x, y). Note that this is done be setting the partial derivatives of f with respect to both x and y to zero.

(a) Start with an initial guess of x = 1 and y = 1 and apply two applications of the steepest ascent method to the following function

                        f(x, y) = 2xy + 1.5y – 1.25x² – 2y²

(b) Construct a plot from the results of (a) showing the path of the search.