XYZ Corp. is planning buy a new machine with an initial cost of $$10,000.$ This machine has an estimated life of $5$ years and is expected to produce cash flows as shown below. Calculate the profitability index and justify your answer. Assume a weighted average cost of capital of $7\%.$

$012345$

$-10,0003\mathrm{.}5003,5003,5001,2001,200$

No excel plz