Balancing of an assembly line. A product is assembled from three different pieces. Two departments manufacture the parts at different production rates, as indicated in the following table:

Determine the maximum number of final assembly units that can be produced per week. Let Aji be the matrix with the production rate per piece type i in department j and bi the capacity of weekly hours in department i.

PLEASE SOLVE THIS PROBLEM USING GAMS CODE

Department Production rithm (units/h) Capacity (h/sem) Piece 1 Piece 2 Piece 3 1 100 8 5 10 2 80 6 12 4 5 Department Production rithm (units/h) Capacity (h/sem) Piece 1 Piece 2 Piece 3 1 100 8 5 10 2 80 6 12 4 5