CL Ltd. wishes to determine the number of tables and chairs to be made in order to optimise the

use of the available resources. These products utilize two different types of lumber and available on

hand are 2000 board feet of Mahogany and 1500 board feet of Rose Wood. The company has 1000

manhours available for the total job. Each table and chair requires 4 and 2 board feet respectively

of Mahogany , and 3 and 5 board feet respectively of Rose Wood. 5 manhours are required to make

a table and 3 manhours are needed to make a chair. The manufacturer makes a profit of $50 on a

table and $30 on a chair.

(a) Formulate the above as an LPP to maximize the profit. (5 marks)

(b) Use QM to obtain the Feasibility Region. (3 marks)

(c) State the Optimal Solution and the Maximum Profit. (2 marks)

(d) State the profit interval for the tables and chairs. (4 marks)

(e) Interpret one of the Dual values. (1 mark)