Due: June 5 and 6 (Note all numbered items are in the grading rubric) Opening a business one must think of marketing strategies to make your business look more appealing than another. Your group is opening a company that makes custom hats 1. Come up with an appealing name for your company. 2. Design a logo or slogan for your company. One important issue a businessperson must consider is employee pay. After doing some research you find that there are two competing companies in your city. Hats, Inc. pays its employees $1000.00 a month plus $5.00 for every hat they complete in the month. Caps Unlimited pays its employees $500.00 a month plus $10 for every hat they complete in a month. 3. a. what equation could you develop to model how Hats, nc pays its employees?000+SX What equation could you develop to model how Caps Unlimited pays its employees? Complete the table below using your equations for Company 1 & 2: b. c. # of Hats employee Hats, inc. Cap s Unlimited Which company pays more? completed for 1 Employee pay Employee pay month 30 50 80 100 ame d. Solve the system of equations. In other words, for what number of hats will two employees, who are on different pay structures, make the same amount of money? As a business person, you want to keep the cost of doing business as low as possible. Your research also shows that the average time it takes an employee to finish one hat is two hours. If every employee works forty hours a week and a month has four complete weeks, which pay structure is best for you? Why? e. Now that you've explored how to pay your employees, you have to decide where to by the materials for your product. There are several options. If you buy the materials from Linens Plus, a retail store in your town, you must pay an 8.25% sales tax. Another option is ordering your materials online from Material Warehouse, a wholesaler in another state. By doing so, you avoid paying sales tax but the wholesaler charges a processing fee of $13 per order, and 5% of the cost of the materials for shipping and handling. Let x represent your cost of materials and let y represent how much you would pay the company. 4. a. Develop equations that model Linens Plus and Material Warehouse