Econ402_Set2 - PS 2 Tools Data and Maths(60 raw points ECON...

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PS 2 – Tools: Data and Maths (60 raw points) ECON 402, Prof. Bachmann Due: January 27 Explain all your answers. “Results only” means partial credit only. Staple and write legibly. No spiral stuff. The numbers in brackets are the subdivision of raw points for each question. I) Loci (20 raw points) In this problem you will encounter loci again. It will result in a useful mnemonic for drawing graphs in an exam, when you are under time pressure. Here you will derive that mnemonic. In class, we looked at the following expression: F(x, y)=0 (you can ignore z for this exercise). The partial derivative of F with respect to x was positive and with respect to y it was negative. This led to an upward sloping graph in (x,y)- space ( x being on the x -axis and y being on the y -axis) for all (x,y)- combinations such that F(x, y)=0. Now, what happens to this graph, if the signs of the partial derivatives change? This is the task ahead: 1) Assume now that the partial derivatives of F with respect to both x and y are positive.
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