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 conti stipulates a penalty for undelivered items. The following table provides the pertinent data of the situation, then: Time per units (hr) x 1 x2 x3 Department Purka Goose Gloves Capacity (he) Cutting 30 25 1000 Insulating 25 35 30 .10 1000 Sewing 50 40 .22 1000 Packaging .15 05 1000 Deinand 800 750 600 500 Unit profit $30 $40 $20 510 Unit penalty $15 $20 $10 30 15 .15 .1 If the optimum production is x1= 750, x2= 700, x3=600, and x4 = 400, then: Penalty cost = 2550 $ Profit = 34, 450$ The objective function is max z = 15 x1 + 20 x2 + 10 x3 + 2 x4 Net profit = 66, 500$