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Solving an Optimization Problem

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Morten Hansen
Morten Hansen 2019년 10월 19일
마감: John D'Errico 2019년 10월 19일
I’m having difficulties solving an optimization problem. I have tried using linprog (https://se.mathworks.com/help/optim/ug/linprog.html), especially “Solve LP Using Problem-Based Approach for linprog”, however to no success. I suspect the ‘internal service/subassembly” of factor and might be the root of the problem.
I would like to obtain the Solution and Lagrange Multipliers as I need those to calculate marginal costs and graph these for different production mix of and .
I’m open to suggestions on how to solve this problem? Thanks!
The problem is given by:
1.PNG
Factor prices are given by , , , , and
A diagram of the production would look something like this:
Diagram.PNG
Suppose and units are produced and the factor comsumptions are the solution to program.
The solution can be checked by the factor chocies are . This impies a total cost of 632.33.

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