The carpenter makes Tables and Chairs. Every Table cost $30 to be made and can be sold for $70. Each Chair cost $16 and can be sold for $42. Carpenter can afford to spend up to forty hours per week working and takes 5 hours to make the table and 2 hours to make the chair. Because of space limitation in shop, at most 40% of all production (Tables and Chairs) has to be Tables. By experience he knows that maximum number of chairs which he can sell in any given week is 30." Prepare the problem as the LP model, explain decision variables and describe what are some of supposition that you made modeling situation.