v**i
发帖数: 7 | 1 I came across a question in my research: Market demand D(p)=a*p^(-b), where
a is constant, b is price elasticity (constant), p is the price (decision
variable).To maximize profit L=(p-c)*D(p), we know the optimal p=bc/(b-1).
Substituting p=bc/(b-1) into L, we have the (maximal L) as function of b and
c. My big question: how does (maximal L) change with regard to b and c?
Here (maximal) L means the profit after substituting the optimal price.
My results are: if c>=1, a larger b leads to higher (m | s*****a
发帖数: 353 | | g****h
发帖数: 99 | 3 If p=bc/(b-1), do not you want to assume b>1 to make sure p is postive? | v**i
发帖数: 7 | 4
where
and
,
than
Yes, I assume b>1 (that's the only case I consider).
【在 v**i 的大作中提到】
: I came across a question in my research: Market demand D(p)=a*p^(-b), where
: a is constant, b is price elasticity (constant), p is the price (decision
: variable).To maximize profit L=(p-c)*D(p), we know the optimal p=bc/(b-1).
: Substituting p=bc/(b-1) into L, we have the (maximal L) as function of b and
: c. My big question: how does (maximal L) change with regard to b and c?
: Here (maximal) L means the profit after substituting the optimal price.
: My results are: if c>=1, a larger b leads to higher (m
| U*****e
发帖数: 2882 | 5 I sent you a message.
where
and
,
than
【在 v**i 的大作中提到】
: I came across a question in my research: Market demand D(p)=a*p^(-b), where
: a is constant, b is price elasticity (constant), p is the price (decision
: variable).To maximize profit L=(p-c)*D(p), we know the optimal p=bc/(b-1).
: Substituting p=bc/(b-1) into L, we have the (maximal L) as function of b and
: c. My big question: how does (maximal L) change with regard to b and c?
: Here (maximal) L means the profit after substituting the optimal price.
: My results are: if c>=1, a larger b leads to higher (m
| v**i
发帖数: 7 | 6 Thanks a lot. I replied your message :-) |
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