A manufacturing firm needs to schedule the monthly production of two seasonal items for the next $6$ months. The unit production cost of Item A is estimated to be $$15$ for the first $2$ months, S$16$ for the third and fourth months, and $$18$ for the last two $$8$ for the first $3$ re $200,250,400,650,700,450$ units, and the monthly demands for Item B are $160,180,370,500$ e firm can produce a maximum of $800$ units per month. Excess production can be stored from one month to the next at a cost of $$2$ per unit, but a maximum of $200$ total units can be stored in any given month. Assuming that begin$-$ ning inventory levels are zero, how should the production be scheduled so as to months. The unit production cost for Item B is estimated to be months and $$10$ for the last $3$ months. The monthly demands for Item A a $420,350$ units. Th minimize the total costs?

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