A contractor has been invited to submit a tender for the removal of waste from an open cut mine, at 2 million BCM per year. The contractor utilises the following equipment: Caterpillar 992K Front End Loaders (13.68 tonne payload); and Komatsu HD785-5 Rear Dump Trucks (99.0 tonne payload). In bidding for the waste removal contract, the contractor must determine how many trucks and loaders are required to meet the production target and the cost of production. The contractor is also unsure whether to continue with the same equipment or upgrade to larger equipment. The productivity results are to be reported by volume rather than weight. Since we are working in metric units, this will mean that productivities are expressed as bcm/op.hour, bcm/shift and bcm/year. The waste has an insitu bank density of 2.2 tonnes/cu.metre. The material swell factors are used to convert bank volumes to loose volumes in the loader bucket and the truck tray. Note that both swell factors are based on insitu volume. The swell factors for the waste the contractor is to move are as follows: Swell Factor - Insitu to Loader Bucket 1.20 Swell Factor - Insitu to Truck Tray 1.25 For the contractor's loaders mining waste, set the loader bucket fill factor to average. This should equate to a factor of 0.72 on a heaped basis (0.87 on a struck basis) for a Front End Loader. The contractor operates on two shifts per day, from Monday to Friday. In addition, there is one over-time shift on Saturdays. The only rostered days of the year that are not worked are Christmas Day and Good Friday. The contractor annually allows for ten shifts lost due to industrial action and ten shifts lost as a result of wet weather. Each shift is ten hours long. The following delays occur within each shift: Crib break 30 minutes operating Delays either side of crib 2 x 5 minutes operating Delay at start of shift 5 minutes non-operating Delay at end of shift 5 minutes operating Delays for blasting 5 minutes non-operating Clean-up around loader 15 minutes operating Refuelling is carried out outside normal production hours. The contractor's 992 loaders have an expected mechanical availability of 90% and each loader pass takes 35 seconds.

Please show all calculations, graphs, formulas, excel sheets used to determine answer Thanks.