A manufacturing firm wants to plan its production and inventory for the months of May, June, July, and August. The demand to be met at the end of each month is 500, 600, 800, and 1200 units, respectively. The starting inventory on May 1 is 250 units, and the final inventory on September 1 is to be at least 100 units. Currently, the monthly production capacity is 600 units at a cost of $30 per unit. However, a new production line will become operational on August 1 that will increase production capacity to 1200 units per month and unit costs to $35 per unit. Units produced and shipped in th
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