1) Suppose the output of a factory (work) and the number of workers (workers) is represented by a linear function output = a + b workers, where a and b are constants. You know that when there are 5 workers, the output is 15. When there are 10 workers, the output is 20.

1.1. Solve for constant a and solve for constant b

1.3. If there are 20 workers, what is the expected output?

1.4. If the factory hires 6 more workers, what is the expected increase in output?