You can purchase an optical scanner today for $$400.$ The scanner provides benefits worth $$67$ a year. The expected life of the scanner is $10$ years. Scanners are expected to decrease in price by $20\%$ per year. Suppose the discount rate is $11\%.$

Should you purchase the scanner today?

multiple choice $1$

$$ Yes

$$ No

When is the best purchase time?

multiple choice $2$

$$ Wait for $4$ years

$$ Wait for $6$ years

$$ Wait for $5$ years