Problem 1: Integer Programming The Jacksons produce handcrafted furniture in a workshop on their farm. They use four resources: wood, upholstery, fabric and their labor. They produce sofas, chairs, tables and wood stool. Each piece of furniture requires different amount of resources. The Jacksons have been approached by a home furnishing company that needs sofa for its catalog. The company has asked the Jacksons to produce a batch of 25 sofas. The requirements of sofa and the other types of furniture is given in the table below, as well as the resources available. Fabric (yd) 12 -- Profit (S) 550 390 170 95 Sofa Table Chair Wood Stool Available Resources Wood (lb) Upholstery (yd) Labor (hr) 3 15 2. 4 5 5 10 9 7 6 700 400 500 7 - 350 All of customers who buy a table also want four chairs to go with it. So, for every table produced four chairs must be made. Of course, additional chairs can be sold separately. Formulate an integer linear program that will help the Jacksons determine whether they should agree with the company and produce the sofa and also determine the number of stools, tables and chairs they should make in order to maximize profit. Problem 1: Integer Programming The Jacksons produce handcrafted furniture in a workshop on their farm. They use four resources: wood, upholstery, fabric and their labor. They produce sofas, chairs, tables and wood stool. Each piece of furniture requires different amount of resources. The Jacksons have been approached by a home furnishing company that needs sofa for its catalog. The company has asked the Jacksons to produce a batch of 25 sofas. The requirements of sofa and the other types of furniture is given in the table below, as well as the resources available. Fabric (yd) 12 -- Profit (S) 550 390 170 95 Sofa Table Chair Wood Stool Available Resources Wood (lb) Upholstery (yd) Labor (hr) 3 15 2. 4 5 5 10 9 7 6 700 400 500 7 - 350 All of customers who buy a table also want four chairs to go with it. So, for every table produced four chairs must be made. Of course, additional chairs can be sold separately. Formulate an integer linear program that will help the Jacksons determine whether they should agree with the company and produce the sofa and also determine the number of stools, tables and chairs they should make in order to maximize profit