b$.$ Would the total cost be less with full regular production each period with no overtime, but using a subcontractor to handle the excess above regular capacity at a cost of $$53$ per hundred bolts? Backlogs are not allowed. The inventory carrying cost is $$2$ per hundred bolts, $($Round your Average inventory values to $1$ decimal place. Negative amounts should be indicated by a minus sign. Leave no cells blank $-$ be certain to enter $"0"$ wherever required.$)$

Manager Chris Channing of Fabric Milis, Inc., has developed the forecast shown in the table for bolts of cloth. The figures are in hundreds of bolts. The department has a regular output capacity of $275(00)$ bolts per month, except for the seventh month, when capacity will be $240(00)$ bolts. Regular output has a cost of $$43$ per hundred bolts. Workers can be assigned to other jobs if production is less than regular. The beginning inventory is zero bolts.

$\backslash$table$[[$Month$,1,2,3,4,5,6,7,$Total$],[$Forecest$,275,350,225,300,280,275,270,1,975]]$

a$.$ Develop a chase plan that matches the forecast and compute the total cost of your plan. Overtime is $$68$ per hundred bolts. Regular production can be less than regular capacity. $($Negative amounts should be indicated by a minus sign. Leave no cells blank $-$ be certain to enter $"$O$"$ wherever required.$)$