In order to make the fences od a building, 20 of 200 cm, 100 of 150 cm, 200 of 90 cm and 400 of 45 cm length round profile pieces are needed. These pieces will be cut as 600, 400 and 200 cm from standard aluminum profile. The firm has 30 of 600 cm and 50 of 400 cm length standard profile. If the available stocks are not adequate 200 cm standard profiles can be bought as needed. According to these informations, how it should be cut to minize the 200 cm standard profile amount? For each standard profile create at least 4 cutting plan and write the decision model.