Hello, I really need help with a grad level Decision Support
class problem in integer programming. I need the answer as soon as
possible as I have to submit the problems this afternoon. An
example of the problem is as follows:

Harry and Melissa Jacobson produce handcrafted furniture
in a workshop on their farm. They have obtained a load of 600 board
feet of birch from a neighbor and are planning to produce round
kitchen tables and ladder-back chairs during the next 3 months.
Each table will require 30 hours of labor, each chair will require
18 hours, and between them they have a total of 480 hours of labor
available. A table requires 40 board feet of wood to make, and a
chair requires 15 board feet. A table ears the couple $575 in
profit, and a chair earns $120 in profit. Most people who buy a
table also want four chairs to go with it, so for every table that
is produced, at least four chairs must also be made, although
additional chairs can also be sold separately.

Formulate and solve an integer programming model to
determing the number of tables and chairs the Jacobsons should make
to maximize profit.

Please write out the problem step-by step and include the “<
or > and =” when you write out the formula. Also, correlate your
formulas back to the information in the problem so that I can
follow how you worked it out such as what x1, and x2 is and please
clearly state what the objective formula is as well. Thank you in
advance for your help.