Problem $02-06$ algo

Assume that total output is determined by this formula:

number of workers $$ productivity $=$ total output

Hint. Assume there are $100$ workers and each worker produces $$100$ of output.

Instructions: Round your responses to one decimal place.

a$.$ If the workforce is growing by $3$ percent a year but productivity doesn't improve, how fast can output increase?

Output can increase by

$\%.$

b$.$ If productivity increases by $3$ percent and the number of workers increases by $3$ percent a year, how fast will output grow?

Output will grow by

$\%.$