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Vaal Springs produces 3 000 litres of bottled spring water per 16- hour shift for hotels in the neighbourhood. The procedure for production undergoes four
Vaal Springs produces 3 000 litres of bottled spring water per 16- hour shift for hotels in the neighbourhood. The procedure for production undergoes four sequential processes; A, B, C and D. Machine A fills the plastic bottle, Machine B caps the bottle, Machine C labels the filled bottle and Machine D automatically packs the bottles into provided containers. The following information is also given. Machine Standard Efficiency Reliability Scrap time rate A 5 minutes 95% 96% 5% B 3 minutes 94% 97% 3% 2 minutes 92% 98% 2% D 4 minutes 90% 93% 1% Note that all the four machines must undergo tool changes and certain inspections after every 600 litres worth of good product is packed. This change requires 45 minutes. Also, the company offers all their employees a 30-minute lunch break every day, during which all workers are required to stop the production machines. Calculate the numbers of each type of machine required to meet this daily water demand? (18) (Answers to 2 decimal places)
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