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

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

Construct and solve a system of linear algebraic equations that maximizes f(xy). 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(xy) = 2xy + 1.5y – 1.25x2 – 2y2

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