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Suppose a consumer had a utility function given by: U=X^4*Y. If the price of Good X...

Suppose a consumer had a utility function given by: U=X^4*Y. If the price of Good X (Px) is $6 and the price of Good Y is $2.40 then what is the utility maximizing quantity of Good X the consumer will purchase with a budget of $7.50? (Round to the nearest decimal place if necessary.)

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