*3. The demand for a product over the next five periods may be filled from regular production, overtime production, or subcontracting. Subcontracting may be used only if the

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overtime capacity has been used. The following table gives the supply, demand, and cost data of the situation. Production capacity (units) Period Regular rime Overtime Subcontracting Demand 1 100 50 2 40 60 3 90 80 4 60 50 5 70 50 100 28228 30 153 80 200 70 150 20 200 203 The unit production costs for the three levels in each period are $4, $6, and $7, re- spectively. The unit holding cost per period is $.50. Determine the optimal solution.