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3) Solve the following Linear Programming Model - you may recognize the problem setting! Norman Bates is the General Manager of the Bates Motel. Each

3) Solve the following Linear Programming Model - you may recognize the problem setting! Norman Bates is the General Manager of the Bates Motel. Each evening, he visits people in their rooms and offers complimentary Peanut Butter (PB) and Peanut Butter and Jelly (PBJ) sandwiches to tired travelers who didn't go into town for dinner. He also tried to indulge them in conversation to help pass the time. Each day, Norman wants to make at least 25 sandwiches of both kinds combined. Based on known past demand, he also wishes that however many he should make, at least 60% of them must be PBJ's. For this day, he has 60 slices of bread, and each sandwich requires 2 slices. Norman measures his peanut butter and his jelly by 'units', of which for this day, he has 40 units of peanut butter and 20 units of jelly available to make sandwiches. Each PB sandwich uses 1.5 units of peanut butter, and each PBJ uses 1 unit of peanut butter and 1 unit of jelly. Finally, based upon the effort to create the sandwiches and their respective ingredients, Norman assesses the per unit cost of a PB sandwich to be $0.25, while

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