A service firm uses a level utilization production-planning horizon of six months.They have developed a forecast for the coming three quarters that appears in the table.They can add no more than 33% of their production capacity as overtime.What is the minimum cost sales and operations plan? 
Definitions:
Unused Memory
Portions of memory that are currently not being utilized or referenced by any program or process in a computing device.
Vector
In computer science, a vector is a dynamic array that can grow or shrink in size. In physics, it is a quantity with both magnitude and direction.
HashMap< K,V >
A data structure in Java that implements the Map interface, storing key-value pairs with unique keys.
Initial Capacity
The original size of a data structure (like an array or collection) when it's created, before any elements are added.
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