The inequality in the problem represents a quadrilateral region.

Steps:

Draw the regions represented by inequalities on the coordinate axis: take x >； respectively; 0，y & gt 1; x & gt0，y & lt 1; x & lt0，y & gt 1; x & gt0，y & lt 1;

Get four inequalities and enclose a quadrilateral region;

According to the meaning of the question, b>a>0, Z=x/a+y/b is a function with a slope less than-1, and draw the corresponding graph on the coordinate axis.

The maximum value can be (2, 1), which is 5 = 2/a+1/b.

Next, use some techniques.

(8a+b)* 1 =(8a+b)* 1/5 *(2/a+ 1/b)= 17+8a/b+2b/a & gt； = 17+2* (8a/b+2b/a)=25。

Are you sure the topic is correct?