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The question refers to the following optimization problem: Maximize {z = f(x, y) = 2xx+3xy}, subject to o(x.y) = vx + vy =5 Assume that the domain of both the objective function and the constraining function is the non- negative quadrant, that is, Non - negative quadrant = {(x. y) ( R :x 2 0,7 2 0} The graphical representation of the constraint can be seen in Figure 1. The equation of the tangent line at the point (9,4) is 2 x x + 3 x y = 30. 25 0 (0, 25) 20 Vr + Vy = 5 150 2 xx+3 x y= 30 10 0 5 (9,4) (25,0) 10 15 20 25 Figure 1 The optimization problem has been given to an economist and a mathematician. The economist claims that the problem has no solution and the mathematician asserts that there is a unique solution to the problem (a) Solve the optimization problem using the step-by-step procedure | (b) Who is right, the economist or the mathematician? To gain a positive mark you must justify your