Given the utility function .1/2, 1/3 1/3 U = xx2 and , ,

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Given the utility function.1/2, 1/3 1/3 U = xdetermine the value of the marginal utilitiesand дх, дх,

at the point (25, 8). Hence
(a) estimate the change in utility when x1 and x2 both increase by 1 unit;
(b) find the marginal rate of commodity substitution at this point.

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