Glassco manufactures glasses: wine, beer, and whiskey. Each type of glass requires time in the molding shop, and time in the packaging shop. The resources required to make each type of glass are given in the table below. Currently, 600 minutes of molding time, and 400 minutes of packaging time are available. Solve the following questions. Glass X1: Wine X2: Beer X3: Whiskey Molding time (Minutes) 4 9 10 Packaging time (Minutes) 40 Selling Price ($) 6 10 20 1) Formulate the LP problem for Glassco to maximize revenue. (3 pts) 2 ) Find the dual of the LP problem in 1). (5 pts) 3 ) Solve the dual problem. (6 pts) 4 ) What is the most the Glassco should be willing to pay for additional 1 minutes of molding time? (Assuming optimal basis remain the same) (3 pts) 5) Solve the maximum LP problem for Glassco. (5 pts) 6) Glassco considers adding another type of glass, Champagne Glass, that requires 7 minutes of molding and 3 minutes of packaging. The selling price is $9. Does the current basis remain optimal? (3 pts)