6. minimize x - y, subject to 1 < x + y < 4, 0 x...

Transcribed Image Text:

6. minimize x - y, subject to 1 < x + y < 4, 0 x 4, 0 y 4 min 3x36xy+3y s.t -1 x 1 7. 0 y 1 8. Find the dimensions (x,y,z) of a rectangular parallelepiped box such that the volume of the box is maximized subject to the constraint that the sum of the areas of all faces is equal to 36 meters squared. What geometric shape do you get for the box? 6. minimize x - y, subject to 1 < x + y < 4, 0 x 4, 0 y 4 min 3x36xy+3y s.t -1 x 1 7. 0 y 1 8. Find the dimensions (x,y,z) of a rectangular parallelepiped box such that the volume of the box is maximized subject to the constraint that the sum of the areas of all faces is equal to 36 meters squared. What geometric shape do you get for the box?