A) write a integer programming model to maximize the value of items that you can carry with these two boxes and indicate what type of problem,hence model,it is.

WRTE NECESARRY CONSTRANTS FOR THE FOLLOWNG PARTS(EACH ARE NDPENDENT)

B)items 7 and 8 cannot be put in the same box

C)at most three items should be put in box 2

D)if item 3 is put in box 2,then item 5 must also be put in box 2.

E)item 7 and 8 are put in the box 2,then item 5 must also be put in box 2.

F)item 1 must not be put in box 1 if both item 2 and item 3 are put in box 1.

G)item 1 must not be put in box 1 if either item 2 or 3 is put ib box 1.

H)total number of items put in box 1 should not exceed the total number of the items put in box 2.

Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your belongings are as follows: Item 5 Item 8 Item 1 10 Item 2 9 Item 3 15 7 Item 4 3 6 Item 7 3 Weight (kg) Value (x$100) 11 Item 6 6 6 4 5 2 1 8 6