It is known that the value range of independent variable X of quadratic function y = - x2 + 2x + 4 is - 2

It is known that the value range of independent variable X of quadratic function y = - x2 + 2x + 4 is - 2

Y = - (x-1) ^ + 5, its axis of symmetry is x = 1,
So when x ∈ [- 2,3], when x = 1, the maximum of Y is 5; when x = - 2, the minimum of Y is - 4;
So y ∈ [- 4,5]

If the objective function z = ax + y (a is greater than o), there are infinitely many optimal solutions to obtain the maximum value of a and the maximum value of Z

The image of the objective function is a straight line y = - ax + Z, and when it reaches the maximum value, it coincides with an edge of the triangle. If your topic has a graph, you will find that the slope of the edge intersecting with the straight line is - A, and the intercept of the extension line of the edge and the Y axis is the maximum value of Z
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Given a (5,2), B (1,1), C (1225), in the plane region where △ ABC is located, if there are infinitely many optimal solutions to maximize the objective function z = ax + y (a > 0), then the value of a is______ ．

∵ objective function z = ax + y ∵ y = - ax + Z, so the value of objective function Z is the intercept of line family y = - ax + Z. when the slope of line family y = - ax + Z is equal to the slope of line AC, there are countless optimal solutions for the maximum value of objective function z = ax + y. at this time, - a = 225-21-5 = - 35 means a = 35, so the answer is: 35