## Task 1 - 040921

In a department of a plant, a new, time-saving work method is to be introduced. If 4 workers in the department work according to this method, production increases by 20 percent.

If 60 percent of the workers in the department apply this method, production can be increased to two and a half times.

a) How many workers are there in the department?

b) By what percentage would production increase if all workers in the department worked according to this method? (All workers in the department perform the same task.)
a) If $p$ is the production of the department, then 4 workers achieve an increase of $0.2 p$. 60 percent of the workers achieve an increase of 1.5 p.

From this follows: $60 \% = 30$ workers and $100 \% = 50$ workers. There are 50 workers active in the department.

b) If all workers in this department apply the new method, production can be increased by 350 percent.