$1\mathrm{.}2$ Two models $($Model $1$ and Model $2)$ of a product are to be produced on an assembly line. Because of the nature of demand for these products, it is preferable to design the assembly line for a mixed production line rather than for separate production in batches. The line output required for the two types of models per woek: Model $1150$ units and Model $2=100$ units. Below are the precedence relationships of the work elements as well as the elements' times. Certain elements are common to both models: Model $1$ consists of elements: A$,$ B$,$ C$,$ D$,$ F$,$ G$,$ I and J Model $2$ consists of elements: B$,$ C$,$ E$,$ F$,$ G$,$ H$,$ and I $1\mathrm{.}2\mathrm{.}1.$ Complete the table below to complete the positional weights of each assembly lask.Element time $($hours$)$Total $($requirements of $\backslash (1+2\backslash ))$Total timel week $($hours$)$Positional weight $1\mathrm{.}2\mathrm{.}2.$ Design an assembly line with the minimum number of workstations and allocate work elements to workstations ACCORDING TO THEIR POSIMONAL WEIGHTS if the available time per week is $60$ hours $($cycle time$).$ Because of the nature of the work, it is necessary to ensure that elements A and C do not occur at the same workstation, and that elements F and G do not occur at the same workstation $($zoning constraints$).$ Show all your calculations, including the curnulative station times and the unassigned station time in a table. $1\mathrm{.}2\mathrm{.}3$ Calculate the balancing loss of the assembly line based on theoretical minimum number of workstations.