Question: 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

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. Suppose that P subscript x equals 5, P subscript y equals 5, and that I equals 400. What is the optimal consumption bundle b equals left parenthesis x comma y right parenthesis for the consumer? (The answer should be whole numbers, which no decimals.)

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