A group of students are trying to do enterpreneurship by baking cookies for the New Year Holidays. The student sells the cookies in two types, which are a mixture of two main ingredients of cheese and nuts. The cookies is sold in a container with a size of 1 kg. The ratio of the mixture between nuts and cheese for the first type of cake is 1:2 and the second type of cake is the same mixture in both. Due to limited capitalm the student currently has 90kg of cheese and 60kg of beans in stock. The purchase cost of nuts is IDR 12000/kg and cheese IDR 18000/kg. The selling price for the first type of cake is IDR 30000/kg and the second type is IDR 25000/kg. It is unknown that there are no more than 120 container of cookies sold.  Question a. Formulation in the linear program so the profit can be maximum. how many cookies that they need to prepare fpr every type and how much is the profit? Draw the graph!

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A group of students are trying to do enterpreneurship by baking cookies for the New Year Holidays. The student sells the cookies in two types, which are a mixture of two main ingredients of cheese and nuts. The cookies is sold in a container with a size of 1 kg. The ratio of the mixture between nuts and cheese for the first type of cake is 1:2 and the second type of cake is the same mixture in both. Due to limited capitalm the student currently has 90kg of cheese and 60kg of beans in stock. The purchase cost of nuts is IDR 12000/kg and cheese IDR 18000/kg. The selling price for the first type of cake is IDR 30000/kg and the second type is IDR 25000/kg. It is unknown that there are no more than 120 container of cookies sold. 

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a. Formulation in the linear program so the profit can be maximum. how many cookies that they need to prepare fpr every type and how much is the profit? Draw the graph!

b.Which sources should be prioritized? What is the profit interval for each type of cake so the profit can be maximized?

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