Question $1.$ The setup time for a machine is $30$ minutes and the processing time is $5$ minutes. The parts produced by this machine are used in an assembly process that has a capacity of $8$ units per hour.

a$.$ If the batch size is $6,$ what is the capacity of the process?

b$.$ If the batch size is $30,$ what is the capacity of the process?

Question $2.$ What is the optimal assignment of the following jobs?

$\backslash$table$[[,$Machine,$],[,,$A$,$B$,$C$,$D$],[$Job$,1,3,9,9,1],[2,6,8,8,10],[3,5,3,8,3],[4,2,1,6,9]]$