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1. Magnolium Bakery needs to decide how many and what types of cupcakes to make for this week. Currently, they offer two flavors of cupcakes: blueberry lemon and red velvet. Blueberry lemon cupcakes sell for a profit of $4 per cupcake, while red velvet cupcakes sell for the same profit of $4 per cupcake.
There are two main ingredients in making their cupcakes: our and sugar. Each blueberry lemon cupcake requires 2 cups of our and 4 cups of sugar. Each red velvet cupcake requires 4 cups of our and 3 cups of sugar. Magnolium has a total of 100 cups of our and 120 cups of sugar to use. Also, they would like to make at least 5 blueberry lemon cupcakes. Magnolium would like to determine how many of each type of cupcake to make.
a. Formulate the problem as a linear program.
b. Solve the linear program from part (a) above using Excel. Specifically, find the optimal number of each type of cupcake to make and the optimal profit of Magnolium. Please, submit a screenshot of your Excel spreadsheet including the solver parameters, the answer report, and the sensitivity report. Assume that fractions of cupcakes can be made.
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