For every problem: 1. Set up the model in Excel, use Solver to determine the optimal solution. 2. Answer any other questions that are asked 3. Submit Excel Template with your solution results and all answers. Problem 1. A furniture manufacturer produces two types of tables (country and contemporary) using three types of machines. The time required to produce the tables on each machine is given in the following table. Machine Country Contemporary Total Machine Time Available per Week Router 1.5 2.0 Sander 3.0 4.5 Polisher 2.5 1.5 1,000 2,000 1,500 Country tables sell for $350, and contemporary tables sell for $450. Management has determined that at least 20% of the tables made should be country and at least 30% should be contemporary. How many of each type of table should the company produce if it wants to maximize its revenue? a. Formulate an LP model for this problem. b. Create a spreadsheet model for this problem, and solve it using Solver. c. What is the optimal solution? d. How will your spreadsheet model differ if there are 25 types of tables and 15 machine processes involved in manufacturing them?