$.($IRR of uneven cash$-$flow stream$)$ Microwave Oven Programming, Inc. is considering the construction of a new plant. The plant will have an initial cash outlay

of $$7$ million and will produce free cash flows of $$3$ million at the end of year $1,$

$$4$ million at the end of year $2,$ and $$2$ million at the end of years $3$ through $5.$ What is

the internal rate of return on this new plant?