Each week a pipeline company ordinarily pumps 10 different fluids to its customers from El Segundo to San Fernando and only has one pipeline between these two cities. This week's deliveries call for only 5 fluids, with the following delivery times: Fluid 1 Fluid 2 Fluid 3 Fluid 4 Fluid 5 Tuesday at noon Thursday at noon Wednesday at noon Friday 10 a.m. Thursday at 10 a.m. The week is assumed to start at 8 a.m. on Monday. The times in hours required to pump the fluids are: Fluid 1 2 3 4 5 Time 2220312328 The customers don't mind if the fluids arrive early, but get more irate the more a delivery time is missed. a)In what order would you pump the fluids? b) If the penalty for the tardiness were $5,000/hour, how big a penalty would be for the order obtained in (a)