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 $272(00)$ bolts per month, except for the seventh month, when capacity will be $252(00)$ bolts. Regular output has a cost of $$25$ 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$],[$Forecast$,300,250,250,310,280,275,270,1,935]]$

a$.$ Develop a chase plan that matches the forecast and compute the total cost of your plan. Overtime is $$55$ 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.$)$

$\backslash$table$[[$Period$],[$Forecast$],[$Output$],[$Regular$],[$Overtime$],[$Output $-$ Forecast$],[$Cost$],[$Regular$],[$Overtime$],[$Total$]]$