A company considers buying a new machine to automate its production line. This automation will save labor costs by as much as $35,000 in the first year, increasing 10% every year after the first year for a total of 10 years. The equipment initially costed the company $200,000. (a) Draw the discounted cash flow diagram (b) Should you purchase this machine if the interest rate is 10%? (b) How many years (approximately) is needed so that the cost of the machine will equal the labor-cost savings (i.e. breakeven point in the discounted cash flow diagram)?