$1.$ Barnacle Bobs Fish and Tackle Shop is planning an expansion. The initial investment is $$480,000,$ and anticipated cash inflows are as listed below. The cost of capital is $12\mathrm{.}2\%.$ Based on the profitability index, should Barnacle Bob go ahead with the project?YearsCash Inflows$1$$ $90,0002105,0003105,0004195,0005195,0006195,000$ a$.$ No$,$ the profitability index is $2.$ b$.$ No$,$ the profitability index is $0\mathrm{.}95.$ c$.$ Yes, the profitability index is $1\mathrm{.}18.$ d$.$ Yes, the profitability index is $0\mathrm{.}78.$