8) (20 points) A furniture manufacturer is considering the purchase of a painting robot to reduce production costs. It has narrowed its choices to two robots. The manufacturer expects to use the new painting robot for a 10-year period. Robot Alpha will generate a net savings of $120,000 for the first year with the annual savings for the subsequent years increasing by 5% per year. Robot Beta is expected to generate a net savings of $125,000 for the first year with the annual savings for the subsequent years increasing by $5,000 per year. The company uses a TVOM of 10% per year compounded annually. a) (8 points) Compute the present worth of the net savings for Robot Alpha. b) (8 points) Compute the present worth of the net savings for Robot Beta. c) (4 points) Based on the above calculations, how much more or less would the cost have to be for Robot Alpha for the manufacturer to be indifferent between the two robots