Apaper manufacturer produces paper rolls of a standard width of 105 cm and length l cm. however, the customers demand rolls of length l cm but of a smaller width. the manufacturer is faced with the following orders. # rolls 100 125 80 width (cm) 25 30 35 to meet the demand, rolls of standard width are cut into rolls of smaller width. one roll can, for instance, be cut into two rolls of width 35 cm and one roll of width 30 cm. this cutting pattern yields a loss of 5 l cm2 of paper. the goal of the manufacturer is to minimize the loss of paper for the above demand. formulate this problem as an integer linear program (an integer linear program is a linear program where each variables is required to be integer).