Kuching Famous cake entrepreneurs Atim and Akat produce two types of premium cake products: Atim and Akat’s Chocolate American and Butter Cranberry. Their chocolate cake requires 6 oz milk and 8 oz of peanuts per loaf while the Butter option requires 9 oz milk and 5 oz peanuts. Atim and Akat currently enjoy a surplus of all other ingredients required for their cakes but only have 360 oz of milk and 400 oz of peanuts for this limited production run. Given that the entrepreneurs charge $5 for each loaf of Chocolate American and $7 for each Butter Cranberry, a) how many of each type should Atim and Akat produce in order to maximize their profit and what is the maximum? Clearly draw and labeled feasible region on the provided axes and feel free to approximate to the nearest tenth of a loaf as necessary b) Interpret the solutions.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Kuching Famous cake entrepreneurs Atim and Akat produce two types of premium cake products: Atim and Akat’s Chocolate American and Butter Cranberry. Their chocolate cake requires 6 oz milk and 8 oz of peanuts per loaf while the Butter option requires 9 oz milk and 5 oz peanuts. Atim and Akat currently enjoy a surplus of all other ingredients required for their cakes but only have 360 oz of milk and 400 oz of peanuts for this limited production run. Given that the entrepreneurs charge $5 for each loaf of Chocolate American and $7 for each Butter Cranberry,

a) how many of each type should Atim and Akat produce in order to maximize their profit and what is the maximum? Clearly draw and labeled feasible region on the provided axes and feel free to approximate to the nearest tenth of a loaf as necessary

b) Interpret the solutions.

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