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Given: *f*(*x*, *y*) = 2*xy* + 1.5*y* – 1.25*x*^{2} – 2*y*^{2}

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*) = 2*xy* + 1.5*y* – 1.25*x*^{2} – 2*y*^{2}

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