I reread this, and so I've attached the homework question (and the mentioned graph) to better help describe what I'm getting at. I'm very lost how to prove this.http://imgur.com/NyuuHmT
Homework Statement
Show that, quite generally, the Poisson Mass Function has the same value at λ (i.e. the average) and at (λ-1).
Homework Equations
The Poisson Mass Function is
p(x) = [e^(-λ) * λ^(x)]/(x!)
The Attempt at a Solution
I started out by plugging in λ-1 into the equation to get...
This is where I'm confused. I'm not sure how to solve that. I suppose the simple answer would be ##u'(q_1)## which would make the overall solution ##-u'(q_1)##?
Okay, I think I'm beginning to understand. I need to take ##\frac{\partial}{\partial q_1} (u(q_1) + q_2)##
However, not knowing what ##u(q_1)## is, the solution would be ##\partial u##
And this would make the overall ##MRS = -\frac{\frac{\partial U}{\partial q_1}}{\frac{\partial U}{\partial...
Sorry I wasn't very clear! (I'm not familiar with using that fancy notation.) MRS stands for Marginal Rate of Substitution, the rate that one consumer is willing to give up in exchange for another while keeping the same utility (U). MRS is the quotient of the two partials as you wrote: $$-...
Homework Statement
What is the MRS of the quasilinear utility function U(q1, q2) = u(q1) + q2 ?
Homework Equations
MRS = - dU1/dU2
The Attempt at a Solution
[/B]dU2 is 1 but I am unsure how to approach taking the derivative of u(q1). I have tried the answer as -dU and -dU * dq1...