Isla sells baked good from her home kitchen. She offers decorated cookies for $15 per dozen and cupcakes for $13 per dozen. It takes her an hour to decorate a dozen cookies, but only 20 minutes to decorate a dozen cupcakes. She would like to make at least $300 per week and not put in more than 20 hours of work per week.
A: Create a system of linear inequalities that fits the situation.
B: Isla just discovered that she is running out of cake mix for the cupcakes and royal icing for the cookies. She can make a maximum of 40 dozen cupcakes and 12 dozen cookies. What are the new inequalities you need to add to your problem?
C: What is the maximum amount of baked goods that she could make? (cupcakes, cookies)
​D​: ​How much will she earn if she made the maximum amount of baked goods?
E​: How long will it take her to make the maximum amount of baked goods? (minutes and hours)
​F: ​What is the least amount of time she could work and still earn $300? What baked goods would she make?