A project costs $$1000$ at the outset and has a required return of $8\%.$ It is projected to generate $$250$ a year for $7$ years, but there is uncertainty as to how many years the project will generate $$200.$ What is the minimum number of productive years needed in order for the project to generate a positive NPV$?$

Group of answer choices

$4$

$5$

$3$

$6$