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 $300(00)$ bolts per month, except for the seventh month, when capacity will be $200(00)$ 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.

Month $1234567$ Total

Forecast $3103003002754002752502,110$

a$.$ Develop a chase plan that matches the forecast and compute the total cost of your plan. Overtime is $$65$ per hundred bolts. Regular production can be less than regular capacity