A market strategy is implemented in order to expedite the placement of collaborators towards economically affected groups. These measures should not be seen in a lucrative way and for this reason they plan that their income from "q" collaborators, will be part of a function I(q)=60q-0.02q^2. The initial cost of the expenses is $300 for rights, in addition it would have unit costs per worker equivalent to $50.
a) Calculate the model that would explain the utility that could be obtained.
b) Determine the number of workers that would originate the maximum benefit for the collaborators. How much is this utility?
c) Represent the income function graphically, obtain the maximum income and interpret it.
