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1. Consider Mary's utility function: U = 10C0.5T0.5, where C is the quantity of coffee and T is the quantity of tea Mary consumes. For each additional coffee Mary consumes, she receives additional utility equal to 5C-0.5T0.5 and for each additional tea she consumes, she receives additional utility equal to 5C0.5T-0.5. If the price per coffee is $10 and the price per tea is $5 and Mary has a weekly income of $500, find the bundle of coffee and tea that maximizes Mary's utility.
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