The design of auditorium chairs, theater chairs, row chairs, theater chairs, and theater chairs require that the satisfaction of the theater chairs mainly depends on the viewing angle and the elevation angle b. The viewing angle a is the angle between the audience's eyes to the upper and lower edge of the screen. The larger a is, the better; the elevation angle b is the angle between the audience's eyes The angle between the upper edge of the screen and the horizontal line, if b is too large, the person's head will be raised too much, causing discomfort. Generally, b should not exceed 30°.  
     Note the height h of the cinema screen, the height H from the upper edge to the ground, the inclination angle of the floor line q, the horizontal distances between the first row and the last row of seats and the screen are d and D respectively, and the average sitting height of the audience is c (referring to the distance between the eyes and the ground) . Known parameters h=1.8m, H=5m, D=19m, c=1.1m. Floor line inclination q=10°, what is the best place to use it? Find the inclination angle q of the floor line (generally not more than 20°) to maximize the average satisfaction of all audiences. According to the audience's satisfaction with the seat, it mainly depends on the viewing angle and elevation angle when viewing. The larger the viewing angle, the better, and the smaller the elevation angle, the better. The best orientation b is to find a balance between the two to make the audience's general satisfaction. maximum. Since b>30° is unavoidable, the viewing angle and the elevation angle must be considered together when building the model. Therefore, this article establishes the weight of the viewing angle and the elevation angle respectively, establishes an appropriate coordinate system, and then forms a linear satisfaction function.
    Litang Furniture Manufacturing Auditorium Chair Question 1: Know the inclination of the floor line, find the best seat address, convert the question into the maximum value of the generalized satisfaction function, use the matlab software to make a generalized satisfaction image, and solve it. Regarding the second question, imagine all the seats as continuous points. At this moment, the generalized satisfaction is a binary function about x and q. First, the integral of the address interval for x is calculated, and then the total azimuth is calculated. Uniform satisfaction, and then use matlab to make a graph of the function of uniform satisfaction about q, and then intuitively solve it. Viewing angle and elevation angle, the inclination of the floor line and the horizontal line D, the horizontal distance of the first row from the screen, d, the horizontal distance of the first row from the screen, h, the height of the screen, H, the height of the upper edge of the screen from the ground. Determine the weight of b.