PLEASE SHOW ALL YOUR CALCULATIONS AND GIVE AN EXPLANATION!!

1. A new inventory management system for ABC company could be developed at a cost of $280,000. The estimated net operating costs and estimated new benefits over six years of operation would be: Year Estimated Net Operating costs Estimated New Benefits ($280,000) $0 ($6,000) $40,000 ($9,800) $80,000 ($11,000) $82,000 ($14,000) $115,000 ($15,000) $120,000 ($25,000) $140,000 a. Assuming a 12% discount rate, what is this investment's profitability index? b. What is the IRR of this investment? C. Would this new inventory management system be a good or bad investment for ABC Company? Why