A contractor has both a 3-cy and a 5-cy shovel in the equipment fleet. Select the minimum-size shovel that will excavate 400,000 bcy of common earth in a minimum of 130 working days of 8 hr each. The average height of excavation will be 15 ft, and the average angle of swing will be 120°. The 3-cy shovel has a maximum digging height of 30 ft and the 5-cy machine's maximum digging height is 34 ft. The efficiency factor will be a 45-min hour. Appropriate-size haul units can be used with either shovel. How many days will it require to complete the work?