Question

An investment fund generates a profitability which depends of the amount of money invested, according with...

An investment fund generates a profitability which depends of the amount of money invested, according with the formula R(x)=-0.002x^2+0.8x-5 where R(x) represents the rentability generated when the amount x is invested.

Determinate (considering we have 500 dollars):

  1. When profitability increases and when it decreases.
  2. How much money we need to invest to have the higher profitability possible.

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