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There is the following problem to schedule production for the next 4 months, in order to supply a certain specific demand per period as indicated

There is the following problem to schedule production for the next 4 months, in order to supply a certain specific demand per period as indicated in the table. The information available is the following: a preparation cost of $25,000 in periods 1 and 3, while in periods 2 and 4 the production preparation cost will be $35,000. In the case of the cost of maintaining a unit for a period in inventory is $28.

Period 1 2 3 4
Demand 400 350 450 250
Unit price 45 44 47 47

You should record the answer of the optimal solution with lowest inventory costs to two decimal places.

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