Manager Chris Channing of Fabric Mills, 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 $$41$ per hundred bolts. Workers can be assigned to other jobs if production is less than regular. The beginning inventory is zero bolts.

Month $1234567$ Total

Forecast $2753502503002802752702,000$

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 $"0"$ wherever required.$)$