3. A small company that specializes in converting pickup trucks into rear-cabin vehicles has just received a long- term contract and must expand. Heretofore, the conversion jobs were customized and performed in a garage. Now a larger building must be occupied, and the operations must be managed more like a production plant. Three models will be produced: A, B, and C. Annual quantities for the three models are as follows: A, 700; B, 400; and C, 250. Conversion times are as follows: A, 20 hr; B, 30 hr; and C, 40 hr. Defect rates are as follows: A 11%; B, 7%; and C, 8%, work teams of three workers each will accomplish the conversions. Each work team will require a space of 350 ft2 in the plant. Reliability (availability) and worker efficiency of the work teams are expected to be 95% and 90%, respectively. Although the defect rates are given, no truck is permitted to leave the plant with any quality defects. Accordingly, all of the defects must be corrected, and the average time to correct the defect is 25% of the initial conversion time. The same work teams will accomplish this rework. (a) if the plant is run as a one-shift (2000 hr/yr) operation, how many work teams will be required? (b) If the total floor space in the building must include additional space for aisles and offices and the allowance that is added to the working space is 30%, what is the total area of the building