A contractor has a project to construct a large parking garage at a regional airport. She has…

A contractor has a project to construct a large parking garage at a regional airport. She has decided to use a hydraulic backhoe excavator with a 3.1-cubic-yard bucket to excavate for the foundation of the parking garage and to use articulated end-dump trucks to remove the excavated material. The material to be excavated is tough, hard clay weighing 107 pounds per bank cubic foot with a swell of 35%. The haul road is 7,000 feet long with a rolling resistance estimated to be 80 pounds per ton and a coefficient of traction estimated to be 0.5. The first 1,000 feet of the haul road has an uphill

A contractor has a project to construct a large parking garage at a regional airport. She has decided to use a hydraulic backhoe excavator with a 3.1-cubic-yard bucket to excavate for the foundation of the parking garage and to use articulated end-dump trucks to remove the excavated material. The material to be excavated is tough, hard clay weighing 107 pounds per bank cubic foot with a swell of 35%. The haul road is 7,000 feet long with a rolling resistance estimated to be 80 pounds per ton and a coefficient of traction estimated to be 0.5. The first 1,000 feet of the haul road has an uphill grade of 3%, the next 4,000 feet has a downhill grade of 2%, and the last 2,000 feet has an uphill grade of 2% when traveling from the load site to the dump site. Manufacturers information about the dump truck is provided in Example 12.1, and a performance chart is shown in Figure 12.7. Job conditions at the dump site are considered average and at the load site are considered unfavorable. The cycle time of the backhoe is estimated to be 30 seconds. The hourly ownership, operating, and labor cost for the dump truck is estimated to be $168 and for the backhoe is estimated to be $200. a. What is the estimated productivity of one dump truck in bank cubic yards per hour, if the contractor works 45 minutes per hour and the truck does not wait in a queue to be loaded? b. How many dump trucks should the contractor use with one backhoe to minimize the excavating and hauling cost? c. What is the estimated unit cost for excavating and hauling the clay with the number of trucks determined in b above?

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