A work cell is required to make 80 computerized diagnostic assemblies (for installation into hybrid automobiles) each day. The cell currently works an eight hour shift, of which seven hours are available for productive work. These assemblies require five operations, with times of 1.0, 1.8, 2.4, 2.5, and 1.4 minutes each. (a) What is takt time for this cell? (b) How many workers will be needed?