(Solved): Background: Gallagher \& Sons produces 2 products, Prod 1 and Prod 2 which generate \( \$ 4 \) a ...

Background: Gallagher \& Sons produces 2 products, Prod 1 and Prod 2 which generate \( \$ 4 \) and \( \$ 2 \) profit, respectively. - Product 1 requires 1 hour in Dept \( A \) and 2 hours in Dept \( B \). - Product 2 requires 1 hour in Dept \( A \) and 5 hours in Dept \( B \). - The company has 350 hours available in Dept A and 1000 hours in Dept B. The company is focused on stabilizing workload requirements in the 2 departments and has established the following goals: - Goal 1: Use exactly 350 hours in Dept A - Goal 2: Use exactly 1000 hours in Dept B - Goal 3: Earn a profit of at least \( \$ 1300 \) Complete: 1. Write as Goal Programming problem 2. Define Goal and Non-Negativity Constraints 3. Plot 4. Identify possible points for consideration 5. Identify solution that achieves goal