Planning their next morning production

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Reference no: EM132265837

A local pastry shop is planning their next morning’s production. The shop has three main items that they sell: cakes, cupcakes, and cannolis. All of these are made in-house with the shop’s own ingredients. The recipes for these items are as follows: Cakes: 5 eggs, 2 cups flower, 15 g of sugar, 1 cup of milk Cupcakes: 2 egg, 0.5 cups of flower, 10 g of sugar, 0.25 cup of milk Cannoli: 4 eggs, no flower, 25 g of sugar, 0.25 cup of milk The pastry shop sells cakes for $8, cupcakes for $3, and cannolis for $6. At the moment, there are 150 eggs, 50 cups of flower, 5 kg of sugar, and 4 gallons of milk available. 1. How much of each item should the pastry shop make in order to maximize their potential profit? What is their maximum potential profit? 2. Suppose the shop had to make at least 5 of each item in order to keep a sufficient variety ready? What would be the new optimal combination? What is their maximum potential profit now? 3. Now suppose that tomorrow they are receiving an order of 100 eggs, 35 cups of flour, 3 kg of sugar, and 2 gallons of milk. What production plan maximizes your potential profit for the next two days? What is this maximum potential profit? Remember that they must still make at least 5 of each item every day.

Reference no: EM132265837

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