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Question 1 [2.5 marks]
Joshua is planning a bake sale to raise funds for his class field trip. He plans to sell muffins and cookies by the
dozen. The dozen muffins will sell for a profit of $6, and the dozen cookies will sell for a profit of $10. Based on
sales from the previous year, he wants to make at least 8 more bags of cookies than bags of muffins.
The cookies require 1 cup of sugar and 3/4 cups of flour per dozen. The muffins require 1/2 cup of sugar and 3/2
cups of flour per dozen. Joshua looks into his cabinet and finds that he has 13 cups of sugar and 11 cups of flour,
but he does not plan to go get more from the store. He also knows that he can only bake one pan of a dozen
muffins or one pan of a dozen cookies at a time. What is the fewest number of pans of muffins and cookies
Joshua can make and still expect to meet his financial goals if he sells all of his product?
i. Formulate a mathematical model for this scenario.
ii. Design graphical solution.
