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(Solution Library) CONSUMERS' SURPLUS. A manufacturer of machinery parts determines that q units of a particular piece will be sold when the price is p

Question: CONSUMERS' SURPLUS. A manufacturer of machinery parts determines that q units of a particular piece will be sold when the price is p = 110 – q dollars per unit. The total cost of producing those is

\[C\left( q \right)={{q}^{3}}-25{{q}^{2}}+2q+3000\]
  1. How much profit is derived from the sale of the q units at p dollars per unit?
  2. For what value of q is the profit maximized?
  3. Find the consumers’ surplus for the level of production q 0 that corresponds to the maximum profit.

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