\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A manufacturer produces \( x \) cakes. The profit from producing \( x \) cakes is given by the function$$P(x) = -5x^{2} + 30x + 2 \text{ dollars,}$$where \( x \) is the number of cakes produced.
  1. What is the profit from producing 3 cakes?
    dollars
  2. What is the fixed profit (or loss) when no cakes are produced?
    dollars
  3. For what numbers of cakes is the profit 27 dollars? (order from lowest to highest)
    ,