University of Wisconsin–Madison

- Increasing marginal opportunity . cost. b. Find the slope of the above expression. Use it to analytically illustrate the notion of increasing marginal opportunity costs. Y = ((100 – 3X2)/2)1/2. dY = (½)((100 – 3X2)/2)-1/2(-3X)dX. dY/dX = (-1.5X)/Y. When X = 1, Y = 6.956, so dY/dX = -.215. When X = 2, Y = 6.63, so dY/dX = -.452 ................
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