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Individual A has UA(XA,YA)=lnXA+2YA and has $500. PX=5 and PY =10.
(a) Find the optimum. Show that it is indeed the maximum.
(b) PX=10. Find the new optimum.
(c) Calculate the substitution and income effects in units of Y associated with this change in price.
(d) Graph your answers in (a), (b) and (c) on the same graph.
Discuss what policy changes he might be likely to propose with respect the issue that you identified as one about which he might be concerned.
1. Kuhn - Tucker Conditions Max 2x + 3y s.t. pxX + pyY ≤ M. x ≥ 0, y ≥ 0 2. Max (8 + x)(8 + y) s.t. pxX + pyY ≤ M. x ≥ 0, y ≥ 0 Utility function 3. U(x, y)
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