A recent college graduate has job offers for a sales position in two computer firms. Job A pays $45,000 per year plus 15% commission. Job B pays only $35,000, but the commission rate is 25%. How much yearly business must the salesman do for the second job to be more lucrative?

For the salesman to more lucrative, the yearly business should be greater than $142857.1429.

Explanation:

let $x be the yearly business that the salesman must do

35,000 + 22%x > 45,000 + 15%x

7x/100 > 10000

7x > 1,000,000

x > $142857.1429

Therefore, for the salesman to more lucrative, the yearly business should be greater than $142857.1429.