Penny is starting a business selling Penny Blossom hair barettes. In one day, she can make at most 20 barrettes. Penny can produce at most 12 pink blossoms and 14 yellow blossoms. She will profit $0.55 on every pink blossom and 0.65 on every yellow. Let x represent the number of pink blossoms made in one day. Let y represent the number of yellow blossoms made in one day. Use linear programming to determine the maximum possible profit for one day and how many of each type of barrette will result in the maximum profit.
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