A furniture company is producing two types of furniture and wants to determine the profit maximizing output combination. Product A requires 8 board feet of wood and 2 lbs of wicker. Product B requires 6 board feet of wood and 6 lbs of wicker. There are 2000 board feet of wood available for product and 1000 lbs of wicker. Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit.

Show all of your work and provide evidence that you can set up and solve a linear programming (LP) problem. Clearly identify your answer(s) and provide a brief discussion of the results. You may use the POM (preferred and easier) or another software to complete this problem. Submit your results from the software in an Excel file. Each of questions below can be answered by running the problem in POM or the MAC version of QM-POM and using the ranging window in POM or the sensitivity output in the MAC version.

1. If you could obtain another unit of wicker how much would you be willing to pay for it? Explain your answer.
2. If you could obtain another unit of wood how much would you be willing to pay for it? Explain your answer.
3. Would your solution change if the price of product B increases to $45 and the price of product A remains at $30? If the solution changes, what is the new solution? If the solution does not change, explain why it would not.