A paint manufacturing company estimates that it can sell $g=f(p)$ gallons of paint at a price of $p$ dollars. (a) What are the units of $d g / d p ?$ (b) In practical terms, what does de/dp mean in this case? (c) What can you say about the sign of $d g / d p ?$ (d) 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 eallon to $\$ 11$ per pallon?
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