A planner has been asked to create a level workforce plan for a $4-$month period. All workforce policies are given in the table below.

Workforce policies and costs:

$\backslash$table$[[$Number of employees,$55,$people$],[$Regular output per employee,$100,$units per month$],[$Overtime production,$800,$max units per month$],[$Regular production cost,$$20,$per unit$],[$Overtime production cost,$$30,$per unit$],[$Holding cost$,$$$2,$per unit in avg inventory$],[$Beginning inventory,$0,$units$],[$Hiring and layoffs,,not allowed$],[$Backlog$,,$not allowed$]]$

A$.$ What is the maximum monthly output for this plan? Include regular and overtime units.

$800$

$10000$

$6300$

$5500$

B$.$ Considering the maximum monthly output $($the supply$)$ you found in part A$,$ we can see that July's forecasted demand exceeds max