The utility function of a consumer who consumes quantities x and y of two goods is defined by the expression U(x, y)=√xy subject to the constraint 7x+3y=84 where $84 is the consumer's overall budget. Assuming marginal utilities U,U>0, maximize the utility function of the consumer. What are the optimal values of x, y and U(x,y)?

ENGR.ECONOMIC ANALYSIS
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3)
The utility function of a consumer who consumes quantities x and y of two goods is defined by
the expression
U(x, y)=√xy
subject to the constraint 7x+3y=84
where $84 is the consumer's overall budget. Assuming marginal utilities U,,U>0, maximize the
utility function of the consumer. What are the optimal values of x, y and U(x,y) ?
Transcribed Image Text:3) The utility function of a consumer who consumes quantities x and y of two goods is defined by the expression U(x, y)=√xy subject to the constraint 7x+3y=84 where $84 is the consumer's overall budget. Assuming marginal utilities U,,U>0, maximize the utility function of the consumer. What are the optimal values of x, y and U(x,y) ?
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