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Find the critical points of the following utility function subject to the constraint. Optimize U(a,b)= a 0.2 b 0.8 subject to m=40c+20d where c and

  1. Find the critical points of the following utility function subject to the constraint. Optimize U(a,b)=a0.2b0.8 subject to m=40c+20d where c and d are the prices of commodities a and b , respectively.
    1. Suppose the initial level of wealth of the consumer is given by m0=PhP400 . Solve for a* , b* , U(a*,b* ) . Graph the resulting indifference curve, budget line, and label all parts of the graph.

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