Case Study: EcoTech Innovations - Sustainable Water Filtration Project Optimization Background: EcoTech Innovations specializes in sustainable water filtration projects, utilizing advanced technologies to create eco-friendly solutions. They have two types of water filtration systems: System A and System B. The production process for each involves specific manufacturing and assembly times. Each System A unit requires 4 hours of manufacturing and 2 hours of assembly, while each System B unit necessitates 6 hours of manufacturing and 3 hours of assembly. In the current production period, there are 300 hours available for manufacturing and 200 hours for assembly. Each System A unit sold yields a profit of $400, and each System B unit brings a profit of $600. EcoTech Innovations is tasked with determining the optimal combination of System A and System B units to manufacture in order to maximize profits. Question: Formulate a Linear Programming (LP) problem to determine the optimal production mix of System A and System B units for EcoTech Innovations, ensuring to define the decision variables, objective function, and constraints. 1. Create the table 2. Complete algebraically a. Define the decision variables. b. Formulate the objective function. c. Set up the constraints. 3. Using Excel for QM, solve the following linear programming problem for EcoTech Innovations 4. What would be your recommendations for EcoTech Innovations