ASSIGNMENT- 1: Optimization, LP Model-Graphical SolutionDate: 1/ + 1/TT 1 - Logo-motion is a sports apparel firm that manufactures jackets, hats, sweat outfits, and T-shirts for college and professional athletic teams. It has contracted with the State University Bookstore for two types of logo jackets, a deluxe jacket and a regular jacket. The deluxe jacket is heavier, with more pockets, a nicer lining, and an embroidered school name and logo. The regular jacket has sewn-on prefabricated logos and lettering. The major steps in the manufacture of these jackets are cutting the material, sewing, and decorating with embroidery or sewn-on items. The following table shows the resource requirements for each type of jacket and total weekly availability of resources. School Jacket Cutting (hr.) Sewing (hr.) Decoration (hr.) Profit ($) Deluxe 0.16 0.47 0.40 18 Regular 0.15 0.28 0.14 12 Resource Availability 40.00 80.00 55.00 Formulate a linear programming model to determine how many deluxe and regular jackets the company should produce in order to maximize profit