2. A production problem A manager must decide on the raw material mix of products to produce for the coming week. Raw material for Product A requires three minutes per unit for molding, two minutes per unit for painting, and one minute for packing. Raw material for Product B requires two minutes per unit for molding, four minutes for painting, and three minutes per unit for packing. There will be 600 minutes available for molding, 600 minutes for painting, and 420 minutes for packing. Both products' raw materials may be split into fractional units, and have profit contribu- tions of $1.50 per unit. Define the following decision variables. A : Number of raw material units of product A to mix B : Number of raw material units of product B to mix Formulate the manager's optimization problem. (a) max1.5A+1.5Bsubjectto:3A+2B600;2A+4B600;A+3B420;A,B0;A,BZ ( b) max1.5A+1.5Bsubjectto:3A+2B600;2A+B600;4A+3B420;A,B0; (c) max1.5A+1.5Bsubjectto:3A+2B600;2A+4B600;A+3B420;A,B0 (d) max1.5A+1.5Bsubjectto:3A+2B600;2A+B420;4A+3B600;A,B0;A,BZ