model development problem

A manufacturer makes two products, doors and windows. Each must be processed through two work areas. Work area #1 has 50 hours of available production time per week. Work area #2 has 75 hours of available production time per week. Manufacturing of a door requires 7 hours in work area #1 and 3 hours in work area #2. Manufacturing of a window requires 5 hours in work area #1 and 4 hours in work area #2. Profit is $12 per door and $8 per window. Let D-the number of doors to build per week Let N - the number of windows to build per week Formulate linear programming: Max s.t. 15D + 12W 7D + 5W 3 50 3D + 4W 75 D.WO, and integer O Max st. Max Max St. 12D + 15W 7D + 5W 50 3D + 4W 75 D.W ', and integer 12D + 15W 7D + SW [50 3D + 4W 75 D.wo, and integer 15D + 12W 5D + 7W 50 4D + 3W 75 D.wo 15D + 12W 7D + 5w 3 50 3D + 4W 75 D.wo, and integer 15D + 12W 7D + SW 50 3D AW 775 Min St. Max MacBook Air 2 30 & 7 5 3 6 8 9 E R T Y 0 U P K G H . L C S.L. O Max s.t. Max S.L. Min S.L. O O O O Max SL 7D + SW f 50 3D + 4W 75 D, W'0, and integer 12D + 15W 7D + 5W 50 3D + 4W 75 D, W'0, and integer 15D + 12W 5D + 7W 50 4D + 3W 75 D.Wo 15D + 12W 7D + SW 50 3D + 4W 75 D, WO, and integer 15D + 12W 7D + 5W 50 3D + 4W 75 DW0, and binary 15D + 12W 5D + 7W 50 4D + 3W 75 D.WO, and integer 15D + 12W 7D + 5W 50 3D + 4W 75 D, WO, and integer 15D + 12W 7D+ 5W 50 3D + 4W 75 D.wo, and integer 15D + 12W 7D + 5W 50 3D + 4W 75 D. W'0 Max S.L. o Max st o Min St. 0 Max S.L