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The utility you derive from exercise (X) and watching movies

(M) is described by the function: ( , )= 100-e-2X -e-M Currently you have four hours each day that you can devote either to watching movies or exercising ( + = 4)
a)Set up the Lagrangian function to maximize utility.
b)Find the optimal amount of time spent at each activity.
c)Is the second-order sufficient condition for maximum satisfied?

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