Installing an automated production system costing $278,000 is initially expected to save Zia Corporation $52,000 in expenses annually. If the system needs $5,000 in operating and maintenance costs each year and has a salvage value of $25,000 at Year 10, what is the IRR of this system? If the company wants to earn at least 12% on all investments, should this system be purchased? (15 points) (Hint: try i = 10%, I = 12%, conduct the interpolation and calculate the exact IRR)