Question: Given the utility function, u = xx2, and the budgetary constraint is, x + 4x2 = 360. (a) (5 points) Find the utility function

Given the utility function, u = xx2, and the budgetary constraint is,

Given the utility function, u = xx2, and the budgetary constraint is, x + 4x2 = 360. (a) (5 points) Find the utility function in terms of x only (i.e., u = f(x1)) using the budgetary constraint. (b) (5 points) Find the maximum value of the utility function, u =x1x2, where the budgetary constraint is, x + 4x2 = 360. Verify that the second order condition for a maximum is satisfied.

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