(All Steps) A person's demand for gizmos is given by the following equation: q=8-0.25 p+0.0001 I where q is the quantity demanded at price p when the person's
Question: A person's demand for gizmos is given by the following equation:
\[q=8-0.25 p+0.0001 I\]where \(q\) is the quantity demanded at price \(p\) when the person's income is \(I\). Assume
initially that the person's income is $\$ 45,000$.
- At what price will the quantity demanded for gizmos fall to zero? (This is sometimes called the choke price because it is the price that chokes off demand).
- If the market price for gizmos is $\$ 10$, how many units will be demanded?
-
At a price of $\$ 10$ and an income of $\$ 45,000$, what is the price elasticity of demand
for gizmos? -
At a price of $\$ 10$ and an income of $\$ 45,000$, what is the income elasticity of
demand for gizmos? - At a price of $\$ 10$, what is the consumer surplus?
- If price rises to $\$ 14$, how much consumer surplus is lost?
- If income were $\$ 60,000$, what would be the consumer surplus loss from a price
rise from $\$ 10$ to $\$ 14$ ?
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