A furniture company produce 6 models of chairs which are A, B, C, D, E and F. The production plan of each model is designed to use some component together and there is the limitation of using each component which is available in the stock. The profits per unit of each model are A=36$am B =40$, C=45$, D=38$, E=35$, and F=25$. Please use the information in the table below to formulate the objective function and constraints of this problem with maximize profits and maximize utilization of resources. (5%) + Components Model Stock available A B D E F2 Item 1 8 0 124 02 84 44 1280 I Item 22 42 122 02 12 42 8 1900 Item 32 42 42 42 42 42 42 1090 Item 4 12 02 02 02 12 12 1902 Item 52 02 12 12 12 02 0 170 Item 6 12 02 02 02 02 0 1104 Item 72 02 12 02 02 02 02 72 Item 8 0 02 12 12 02 02 932 Item 9 02 02 02 02 12 12 852 Item 10 62 0 42 02 52 0 1000 Item 112 02 42 02 52 02 62 1000 I A furniture company produce 6 models of chairs which are A, B, C, D, E and F. The production plan of each model is designed to use some component together and there is the limitation of using each component which is available in the stock. The profits per unit of each model are A=36$am B =40$, C=45$, D=38$, E=35$, and F=25$. Please use the information in the table below to formulate the objective function and constraints of this problem with maximize profits and maximize utilization of resources. (5%) + Components Model Stock available A B D E F2 Item 1 8 0 124 02 84 44 1280 I Item 22 42 122 02 12 42 8 1900 Item 32 42 42 42 42 42 42 1090 Item 4 12 02 02 02 12 12 1902 Item 52 02 12 12 12 02 0 170 Item 6 12 02 02 02 02 0 1104 Item 72 02 12 02 02 02 02 72 Item 8 0 02 12 12 02 02 932 Item 9 02 02 02 02 12 12 852 Item 10 62 0 42 02 52 0 1000 Item 112 02 42 02 52 02 62 1000