The Emery aluminum company rolls and sells aluminum fail in several widths. Customers can order rolls of fail 24 inches, 20 inches, 12 inches, or 8 inches wide. The fail is manufacture in a standard width of 54 inches and the smaller widths are slit. (art) from the standard roll. There are many ways the smaller widths can be art, shown in Table 1. For example, using method 3, are roll 24 inches wide, are roll 12 inches wide, and two rolls 8 inches wide are cut from the standard roll. This leaves 2 inches of soap [54 - 24 - 12 - 2(8) = 2]. Because same scrap is generated by the slitting process, it is not possible to art certain combinations (not shown). All rolls for cutting are a standard 54 -inch width, and roll orders are for the standard width in the table. Furthermore, all orders are for a standard length (the length of a full roll). Emery has received the following orders for the months of July. How should Emery cut rolls to fill these orders? Formulate a linear programming model for the problem and solve for an optimal solution. The Emery aluminum company rolls and sells aluminum fail in several widths. Customers can order rolls of fail 24 inches, 20 inches, 12 inches, or 8 inches wide. The fail is manufacture in a standard width of 54 inches and the smaller widths are slit. (art) from the standard roll. There are many ways the smaller widths can be art, shown in Table 1. For example, using method 3, are roll 24 inches wide, are roll 12 inches wide, and two rolls 8 inches wide are cut from the standard roll. This leaves 2 inches of soap [54 - 24 - 12 - 2(8) = 2]. Because same scrap is generated by the slitting process, it is not possible to art certain combinations (not shown). All rolls for cutting are a standard 54 -inch width, and roll orders are for the standard width in the table. Furthermore, all orders are for a standard length (the length of a full roll). Emery has received the following orders for the months of July. How should Emery cut rolls to fill these orders? Formulate a linear programming model for the problem and solve for an optimal solution