5. (20 points) A highway construction firm is working on a cut-and fill stretch of roadway for which dump truck and power shovels are the primary equipment being used. Time studies reveal the following time values (minutes): Time in Minutes 4 Activity Time to load the truck Dumping time Return time of the truck 4 a) What is the ideal assignment of trucks to the power shovel? b) What is the minimum number of trucks that will prevent idle time for the power shovel? cSuppose that it cost $25 per hour to operate power shovel and S37 per hour to operate each truck. How many trucks should be assigned to the power shovel to minimize the cost per truck load hauled