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# James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at most 65 cakes. The costs per cake and the demands for cakes, which must be met on time, are listed in Table 33. Itcosts500 to hold a cheesecake, and 40¢ to hold a Black Forest cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the next three months’ demands. Table 33: $$ \begin{matrix}\text{ } & \text{Month 1} & \text{ } & \text{Month 2} & \text{ } & \text{Month 3} & \text{ }\\\text{Item} & \text{Demand} & \text{Cost/Cake }($) & \text{Demand} & \text{Cost/Cake }($) & \text{Demand} & \text{Cost/Cake }($) \\\text{Cheesecake} & \text{40} & \text{3.00} & \text{30} & \text{3.40} & \text{20} & \text{3.80}\\\text{Black Forest} & \text{20} & \text{2.50} & \text{30} & \text{2.80} & \text{10} & \text{3.40}\\\end{matrix} $$

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