Problem 2 (name the Excel file as A1 Problem2_yourLastNameFirstName) 20 points total Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the following processing times (in hours) on each of three machines. Product 1 Product 2 Product 3 Machine 1 Machine 2 Machine 3 2 3 2 4 1 5 4 5 5 Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 machines available, 6 type 2 machines available, and 8 type 3 machines available. Products 1, 2, and 3 contribute $90, $120, and $150, respectively, in marginal profit per unit produced. a. Formulate an LP model for this problem. (Please note, you need to write the complete mathematical model) (5 points) b. Implement your model in a spreadsheet and solve it. (10 points) c. What is the optimal solution? How many workers should be assigned to each type of machine? (5 points)