i. b) A furniture manufacturing company plans to make two products- chairs and tables from available resources, which consists of 400 board feet of mahogany timber and 450 man hours of labour.It knows that to make chair requires 5 board feet and 10 man hours and yields a profit of $ 45.While cach tables uses 20 board feet and 15 man hours and a profit of $ 80. Formulate the above statement as a linear programming problem to determine how many chairs and tables the company can make keeping within its resource constraint so that it maximizes the profit. (3 marks) (7 marks) Solve the problem using simplex method ii.