Q$\mathrm{.}2.$ A GT machne cell contams thee machines. Nachme I teeds machine $2$ which is the key machine in the cell. Machine $2$ feeds machme $3.$ The cell is set up to produce a family of tive parts $($A$.$ B$.$ C$.$ D$.$ and E$).$ The operation times for each part at each machine are given in the table batow: The prodncts are ro be produced in the ratios $+\mathrm{.}3\mathrm{.}2\mathrm{.}2\mathrm{.}1.$ respectively:

$($a$)$ If $35$ hems per week are worked. detemine how maty of each prodtct will be made by the cell.

$(10-$Mark$)$