Inventory Control Problem • 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 departments: cutting, insulating, sewing, and packaging. The company has received firm orders for its products. The contract stipulates a penalty for undelivered items. Devise an optimal production plan for the company based on the following data: Time per unit (hr) Department Parka Goose Pants Gloves Capacity (hr) Cutting .30 30 25 .15 1000 Insulating 25 35 30 10 1000 Sewing 45 50 40 22 1000 Packaging .15 .15 .1 .05 1000 Demand 800 750 600 500 Unit profit $30 $40 $20 $10 Unit penalty $15 $20 $10 $8