In preparation for winter season, a clothing company is manufacturing parka and goose overcoats, insulated pants, and gloves. All products are manufactured in four different de- 4 of 5 partments: cutting, insulating, sewing, and packaging. The company has received firm orders for its products. The contract stipulates a penalty of undelivered items. Devise an optimal production plan for the company based on the following data: You are expected to formulate this problem as a linear programming problem only (do not solve). [10 Marks]