Erica purchased a franchise agreement to distribute electronic gadgets for $6$ years. The agreement cost $$2,000,000$ and he had to make investments of $$825,000$ for the first $2$ years to set up his showroom. The franchise generated $$1,050,000$ in profits each year from the $1$st year to $6$ years afterwards. At the end of year $6,$ he sold the furniture in his showroom for $$80,000.$

a$.$ What is the Internal Rate of Return $($IRR$)?$ b$.$ Should he have proceeded with this plan if his cost of capital was $17\%?$