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question 1
consider the demand function
$d(p)= - 10p + 560$
where $d$ is the level of demand and $p$ is the associated unit price. which of the following best describes the implied domain of this model?
o nothing in this list is correct.
o $0,560$
o $0,28$
o $0,56$
o $(-\infty,\infty)$

Explanation:

Step1: Determine lower - bound of price

In a real - world context, the unit price $p$ cannot be negative. So, $p\geq0$.

Step2: Determine upper - bound of price

The demand $D(p)\geq0$ in a real - world scenario. Set $D(p)=0$ and solve for $p$.
\[

$$\begin{align*} - 10p + 560&=0\\ -10p&=-560\\ p& = 56 \end{align*}$$

\]
So, the price $p$ must satisfy $0\leq p\leq56$.

Answer:

$[0,56]$