Please use Linnear programming and excel solver. Must also provide constraints.

3. Makers of the new Darby Doll are urgently trying to get as many to market as possible because a craze has created almost unlimited demand. One plant can supply up to 8000 per week to its distribution center, but that center can then get only 3000 per week to east region customers, and 1000 to the west. The other plant supplies up to 3000 per week to its (distinct) distribution center, which can ship 2000 per week to the east and the same number to the west. Formulate a linear program to determine maximum number of Darby Dolls that can make it to market