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Final answer:Roy encountered a budget problem when the price of a sports drink increased in a vending machine, leaving him with less change than he expected.Explanation:Roy was willing to pay $2.50 for a sports drink but found out after the purchase that the price increased to $2.75 when he received his change from the vending machine. Roy put in $5.00 and expected $2.50 back, but with the new price of $2.75, he would have received $2.25 in change. Therefore, Roy has a budget problem similar to the one described in the provided material where consumers have to decide how to allocate their limited income on the things they want and need. This situation involves understanding the typical consumer's budget problem and how variables such as price changes can affect their purchasing decisions and their available budget....