London Hospital has been considering the purchase of a new x$-$ray machine. The existing machine is operable for five mor& years and will have a zero disposal price. If the machine is disposed of now, it may be sold for $$90,000.$The new machine will cost $$650,000,$ and an additional cash investment in working capital of $$20,000$ will be required. The new machine will reduce the average amount of time required to take x$-$rays and will allow an additional amount of business to be done at the hospital. The investment is expected to net $$60,000$ in additional cash inflows during the year of acquisition and $$230,000$ for each additional year of use. The new machine has a five$-$year life and zero disposal value. These cash flows will generally occur throughout the year and are recognized at the end of each year. Income taxes are not considered in this problem. The working capital investment will not be recovered at the end of the asset's life.What is the net present value of the investment, assuming the required rate of return is $20\%?$ Would the hospital want to purchase the new machine?O a$.$ $$33,910$; yesO b$.$ $$(33,910)$; yesO c$.$ $$(33,910)$; noO d$.$ $$50,700$; yes