Learn It Part 2
Let’s take another look at the facts regarding Hermione’s business, Cupcakes and Cake-Ups. Remember, Hermione and her staff can make, at most, 800 cupcakes and 600 cakes in one day. But since her current bakery is small, it can produce only a total of 1,000 cupcakes and cakes in one day. Hermione sells each cupcake at a price point that gives her a $2.00 profit and each cake at a price point that gives her a $7.50 profit.
Hermione wants to maximize her profits each day, but does not want her cupcakes and cakes to be so expensive that no one will buy them. If her baked goods do not sell, she will have wasted money buying expensive ingredients, such as flour, sugar, eggs, etc. How many cupcakes and cakes should she sell to maximize her profits?
This problem can be solved using linear inequalities. Use the following steps to explore the process for solving this problem.
Now you have completed the processes of writing and graphing various linear inequalities to model an authentic situation. You also have determined the coordinates for the best value in this situation, according to specific, given conditions. On the next page, you will have an opportunity to practice the processes you just reviewed.
