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[See Solution] A paint manufacturing company estimates that it can sell g=f(p) gallons of paint at a price of p dollars. What are the units of d g / d p ?

Question: A paint manufacturing company estimates that it can sell \(g=f(p)\) gallons of paint at a price of \(p\) dollars.

  1. What are the units of \(d g / d p ?\)
  2. In practical terms, what does \(d g / d p\) mean in this case?
  3. What can you say about the sign of \(d g / d p ?\)
  4. Given that \(d g /\left.d p\right|_{p=10}=-100\), what can you say about the effect of increasing the price from $10 per gallon to $11 per gallon?

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