You want to hire a temporary employee for 11 days............be a good idea to accept the potential employee’s proposal?

Question

You want to hire a temporary employee for 11 days.

You offer him $11 as wages to be paid on 11th day, but the employee suggests an alternative so that he gets paid daily.

For the first day of work, he will be paid a penny.

For the second day, two pennies.

For the third day, four pennies.

The salary for each subsequent day will be double the previous day’s, until the 11 day’s term is over.

Ignoring the legalities of such a situation, would it be a good idea to accept the potential employee’s proposal?

Answer 1

It would if you fire him after the 10th day.
The salary is 2^n -1 in dollar-cents, where n is the number of days.
After 11 days, his salary would be $ 20.46, which is more than the $ 11 of your offer.
So no, you should reject the employee's proposal.
(After 10 days the salary is $ 10.23)

Answer 2

1*2*2*2*2*2*2*2*2*2*2=1024
=10.24 dollar
Less than 11 dollars
Can be hired.

Comments

The $10.24 is the wage for only the 11th day. You are forgetting the wages for the other days.

Answer 3

1*2*2*2*2*2*2*2*2*2*2=1024
=10.24 dollar
Less than 11 dollars
Cannot be hired.