Beth Ann is a busy, broke beautician and also hires out as a seamstress. With Christmas coming, she plans to make gifts for friends and family. She has scraps and sewing supplies on hand but little time. She takes a day off from the beauty parlor, where she typically makes $12 per hour for a 9-hour shift. She will use the 9 hours to make quilted potholders, which take 1 hour a pair, and frilled placemats, which take 1 ½ hours per set. In the space below, list each letter on a separate line with your response.

What is the maximum number of pairs of potholders Beth Ann can make if she makes no placemats?
What is the maximum number of placemat sets Beth Ann can make if she makes no potholders?
If she makes 6 pairs of potholders, she can make ______ sets of placemats.
If she makes 4 sets of placemats, she can make______ pairs of potholders.
Beth Ann's opportunity cost of a pair of potholders in terms of placemat sets is______.
Beth Ann's opportunity cost of a placemat set in terms of pairs of potholders is____.

A new technique allows Beth to reduce the time it takes to make a pair of potholders to 45 minutes. It still takes 1 ½ hours for placemats.

Beth Ann's new opportunity cost of a placemat set in terms of pairs of potholders is_______.
Beth Ann's new opportunity cost of a pair of potholders in terms of placemat sets is_______.

Suppose that Beth Ann makes these items to sell rather than as gifts. To make her day at least as profitable as working at the beauty parlor:

She should charge at least _____ for each pair of potholders (made with the new technique) and_____ for each set of placemats.