Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2, and the profit for each model B grate is $1.50. There is no more than 100 pounds of cast iron available and at least 20 hours of labor must be made available for grate production each day. Because of backlog orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. If A denotes the number of model A grates produced each day and B denotes the number of model B grates produced each day, which of the following will help the company maximize, P, Kane Manufacturing's profits ? O Maximize P = 2A + 1.5B subject to 3A + 4B s 100 6A + 3B 2 1200 A 2 0, B 2 180 Maximize P - 2A + 1.5B subject to 3A + 4B 2 100 6A + 3B s 20 A 2 0, B 2 180 Maximize P = 2A + 1,5B