Question: Example 2.3-4 (Single-Period Production Model) In preparation for the winter season, a clothing company is manufacturing parka and goose overcoats, insulated pants, and gloves. All

Example 2.3-4 (Single-Period Production Model) In preparation for the winter season, a clothing company is manufacturing parka and goose overcoats, insulated pants, and gloves. All products are manufactured in four different depart- ments: cutting, insulating, sewing, and packaging. The company has received firm orders for its products. The contract stipulates a penalty for undelivered items. The following table provides the pertinent data of the situation. Time per units (hu) Department Parka Goose Pants Gloves Capacity (hr) Cutting Insulating Sewing 50 Packaging .15 .OS 1000 Demand 750 600 500 Unit profit $30 $40 $20 $10 Unit penalty $20 $10 .30 .35 .30 25 .45 .15 800 .25 .30 .40 .1 .15 .10 .22 1000 1000 1000 $15 $8 Devise an optimal production plan for the company

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