Since the arrival of globalization in our country, several businessmen want to join the collective effort of the central government, implementing market strategies in order to expedite the placement of their collaborators towards economically affected groups. These measures should not be seen as lucrative and therefore they plan that their income from "q" collaborators would be subject to the function I(q)=60q-0.02q^2. The initial cost of the expenses is $300 for rights, it would also have unit costs per worker equivalent to $50

1 - Calculate the model that would explain the utility that could be obtained.
2 - Determine the number of workers that would originate the maximum benefit for the collaborators. How much is this utility.
3 - Graph the revenue function, find the maximum revenue, and interpret.