Questions tagged [linear-programming]
Linear programming (also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (mathematical optimization).
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Has mathematical economics contributed to the mathematics of space exploration?
We see the work of Bellman showing up in both orbital trajectory planning/optimization and, obviously DSGE modeling. Also, in a recent example, the JWST uses ideas surrounding Pareto optimization and ...
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Question About Non-Degenerated Constraint Qualification (NDCQ)
I am studying constrained optimization using Mathematics for Economists by Simon and Blume, and I have some difficulties understanding the Non-Degenerated Constraint Qualification (NDCQ). I would like ...
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Resources to derive economic forecasts
What publicly available resources are there, with sample code, that can be used to build my own macroeconomic model? A search on Github shows that some people have posted code, but I think we can do ...
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Market clearing price and dual variables in auctions
Suppose the allocation of an auction (or a market) is defined by the solution of a linear program.
Then it is known that the associated clearing price is given by the dual variable associated to the ...
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Conic optimization in economics
Are there any mainstream economic models that rely on conic optimization to solve for decision variables? Conic optimization is a type of convex optimization problem, different from linear and ...
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Simplex Lp interpretation of dual problem´s solution
I am wondering whether my interpretation of my simplex dual problem result is correct.
The primal problem is:
...
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Corner solution of the maximization problem
Answer
Hello, I upload the actual question with my 8-pages answer. Please can you check it. Is there a corner dissolution for $c=\gamma$. Please share your ideas. Thanks.
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A profit maximization problem (whole problem has been solved, I just have question about interpretation)
I would like to discuss with you about the following production function.
$$y=f(t_m, t_l)=\rho t_m^m(n+t_l)$$
where $0<m<1 $ and $n>0$ are fixed parameters.
$t_m$ is manager time.
$t_l$ ...
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Linear programming, shadow price range
I'm not sure how to determine the range for which a shadow price is valid.
You might be able to skip straight to the question here.
I've been introduced to it using the following approach in 2D.
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Has this differential calculus inequality approach to optimizing the production possibility curve exist?
I just started micro-economics at my community college and my teacher mentioned the derivative of the PPF for two output resources. I thought about it a while and came up with this approach. Some of ...
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What is the interpretation of the output matrix of pivoting?
I have the following matrix:
$$A= \begin{bmatrix}
1 & 2 & 3 \\
2 & 3 & 4
\end{bmatrix}$$
After pivoting, I got this matrix:
$$B= \begin{bmatrix}
1 & 2 & 3 \\
...
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How to write the dual problem of this maximization problem?
On this note for Shapley-Shubik model, there's a maximization problem:
$$\max_{x_{ij} \in \mathbb{R}^{M \times N}}\sum_{j \in N}\sum_{i \in M}v_{ij}x_{ij}$$
$$\text{s.t.} \ \sum_{j \in N}x_{ij} \...
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Optimisation of bonds
I'm doing an optimisation problem but don't understand what the terms mean.
Suppose someone wants to invest $110,000.
They have 4 choices as to what they invest their money into:
municipal bond ...
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First Order Condition for Profit Maximization in Gambling Industry
I am working on a model of optimal payout percentages in the gambling industry.
Because the nominal price of a \$1 ticket is always \$1, we use an effective price strategy where Q = \$1 in won ...
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