lec16_17 - MIT OpenCourseWare http:/ocw.mit.edu 1.020...

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MIT OpenCourseWare http://ocw.mit.edu 1 .020 Ecology II: Engineering for Sustainability Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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1.020 Ecology II: Engineering for Sustainability Lectures 08_16 & 08_17 Economic Optimization, Derived Demand, Irrigation Motivation/Objective Develop a model/optimization procedure to determine the most economically productive way to allocate limited resources (land and water) for a farm growing 2 crops. Approach 1. Formulate allocation of limited resources as an optimization (quadratic programming) problem. Define objective (maxmize crop revenue, $), decision variables (land for each crop, ha), constraints (water and land limitations). 2. Put problem in a form suitable for solution in MATLAB. Construct all matrices required by MATLAB quadprog function. 3. Solve problem in MATLAB and evaluate sensitivities to resource constraints (also called shadow prices or Lagrange multipliers) for a range of water availabilities. 4. Consider how problem inputs (crop yield, crop water demand, crop prices, etc.) affect
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lec16_17 - MIT OpenCourseWare http:/ocw.mit.edu 1.020...

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