Q3. The head of a building department plan to make final inspections of two types of new commercial buildings: office buildings and medical centers. Final inspections involve the work of three separate inspectors: a plumbing inspector, an electrical inspector, and a building inspector. The plumbing inspector requires 4 hours to inspect an office building and 2 hours to inspect a medical center. The electrical inspector requires 2 hours to inspect an office building and 6 hours to inspect a medical center. The building inspector requires 4 hours to inspect an office building and 6 hours to inspect a medical center. Considering the time required for other duties, the plumbing inspector has 28 hours a week available for inspections; the electrical inspector has 30 hours available ; and the building inspector has 36 hours available. Formulate a linear programming model to inspect as many commercial buildings as possible each week