Buenaflor Brewery Corp. manufactures two products, Regular wine and Sweet wine. Three machines: Assembling, Processing and Finishing process each product. Each unit of Regular wine requires 5 hours of Assembling, 4 hours of Processing and 5 hours of Finishing. For Sweet wine, it requires 4 hours of Assembling, 6 hours of Processing and 6 hours of Finishing. The profit on Regular wine is $50.00 per unit while Sweet wine is $55.00 per unit. If Processing and Finishing has 1200 hours while Assembling has 1500 hours each month and the company is required to produce at least 50 units per product. How many products of each type can be manufactured in one month in order to maximize profits?

Required: 

1. Formulate the following: a. Decision Variable b, Objective Function c. Constraints 

2. Show complete solutions and label the graph properly. 

3. Name the vertices. 

4. Compute for the value of X and Y at each point. 

5. How many products of each type can be manufactured in one month in order to maximize profits if the company is required to produce at least 50 units per product?