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Mathematics
Problem
A firm’s demand for a new gadget is modeled by
D
(
p
)
=
10
p
−
0.5
,
p
>
0.5
,
D(p)=\frac{10}{p-0.5}, \qquad p>0.5,
D
(
p
)
=
p
−
0.5
10
,
p
>
0.5
,
where
p
p
p
is the price in dollars. Determine the price at which demand becomes unbounded and evaluate the corresponding limit of
D
(
p
)
D(p)
D
(
p
)
as
p
p
p
approaches that price.
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