Tammy and Tad's Father Has Given Each of Them a Debit

question 109

Essay

Tammy and Tad's father has given each of them a debit card and allows each of them to use the card to spend $500 each month. Tammy and Tad use their $500 to buy only CDs and gasoline. In February, the price of a CD was $10 and the price of gasoline was $1 per gallon. At these prices, Tammy purchased 45 CDs and 50 gallons of gas. Tad consumed 20 CDs and 300 gallons of gas. For the month of March, Tammy and Tad's father lost the records indicating who had which debit card. From the bank statement in March, their father learned that the price of a CD was $12 and a gallon of gas cost $0.80. The first debit card was used to purchase 235 gallons of gas and 26 CDs. The second debit card was used to purchase 265 gallons of gas and 24 CDs. Using revealed preference theory, identify which card Tammy must possess.

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Definitions:

Pasture Lands

Areas of land covered with grass or other vegetation suitable for grazing by livestock.

Letter of Requisition

A formal written request, often used in official or professional settings, to demand the provision of goods, services, or information.

Formal Demand

A formal request, usually in writing, requiring a person or entity to fulfill a legal obligation or payment.

Payment

The act of transferring money or its equivalent in exchange for goods or services.