A company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board ft of oak are available. A table requires 17 board ft of oak, and a chair requires 5 board ft of oak. Each table can be sold for $40, and each chair for $15. A LP model has been formulated to help the company determine the production plan that maxinizes revenue 1) Please develop your code using any programming language (Matlab and Vb are preferred) to solve the LP model and find an optimal production plan. Hint: condition and looping structure Please draw a flow chart for the program. Please attach your program code, optimal results and flowchart with the sheet. Don't forget to sign your name. 2) 3) Solution Decision variables xNumber of tables made of oak = Number of chairs made of oak Formulation: max 40xi 15x2 s.t. 17xi + 5x2 S 150 (Constraint for oak available) x1, x2 0 integer (Sign restrictions) A company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board ft of oak are available. A table requires 17 board ft of oak, and a chair requires 5 board ft of oak. Each table can be sold for $40, and each chair for $15. A LP model has been formulated to help the company determine the production plan that maxinizes revenue 1) Please develop your code using any programming language (Matlab and Vb are preferred) to solve the LP model and find an optimal production plan. Hint: condition and looping structure Please draw a flow chart for the program. Please attach your program code, optimal results and flowchart with the sheet. Don't forget to sign your name. 2) 3) Solution Decision variables xNumber of tables made of oak = Number of chairs made of oak Formulation: max 40xi 15x2 s.t. 17xi + 5x2 S 150 (Constraint for oak available) x1, x2 0 integer (Sign restrictions)