*****need answer to #23****

And show work/ constraint breakdown please.

for $830, any maximize revenue. a. Formulate an integer programming model for this prob b. Solve this model by using the computer. Compare this solution with the solution with the integer restrictions relaxed and indicate whether the rounded-down solution would have been optimal. 22. Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They kitchen tables and ladder-back chairs during the next 3 months. Each table will require 30 hours have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round 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 earns 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 determine the number of tables and chairs the Jacobsons should make to maximize profit. 23. The Jacobsons in Problem 22 have been approached by a home furnishings company that needs a wooden stool for its catalog. The company has asked the Jacobsons to produce a batch of 20 wooden stools, and the Jacobsons would realize a profit of $65 for each stool. A stool will require 4 board feet of wood and 5 hours to produce. Formulate and solve an integer program- ming model to help the Jacobsons determine whether they should also produce the stools