Suppose that a consumer's utility is given by u left parenthesis x comma y right parenthesis equals 4 x to the power of 1 half end exponent plus 4 y to the power of 1 half end exponent, in which case the marginal utilities will be given by M U subscript x equals 2 over x to the power of begin display style 1 half end style end exponent and M U subscript y equals 2 over y to the power of begin display style 1 half end style end exponent, respectively. Given arbitrary prices for good x, good y, and income (P subscript x, P subscript y, and I, respectively), solve for the consumer's demand for good x. That is, your final equation should have the optimal value of x on the left hand side, and some combination of P subscript x, P subscript y, and I on the right hand side