Neco 2017 Agricultural Science Question 50

An extension officer plans a farmer‑field‑school (FFS) on integrated pest management. Each week the programme includes either 2 or 3 hours of theory and either 3 or 4 hours of field demonstration. Preparation time is 1 hour for each theory hour and 0.5 hour for each demonstration hour. Travel time is 2 hours per week, and a final reporting session of 5 hours is required after the whole programme. The officer has a total of 50 hours available. The programme must deliver at least 8 theory hours and at least 12 demonstration hours in total. What is the maximum number of weeks the officer can run the FFS while satisfying all constraints, and how many total theory and demonstration hours will be delivered?