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Budi is an employee. He has a bank savings of Rp. 500,000,000, and he intends to stop working and use half of his bank savings to open a restaurant. After doing some research, he has four alternatives of menu with two categories. The first category of menu consists of Noodle and Vermicelli, while the second category of menu consists of fried rice and fried dumplings. Budi wants to realize at least one menu from each category. Each of these menus has a cost of Rp. 80 million, Rp. 85 million, Rp. 90 million, and Rp. 75 million respectively. The restaurant has ten employees, and each menu will require a different number of workers per day. Noodles, vermicelli, fried rice, and fried dumplings require 3 workers, 4 workers, 2 workers, and 3 workers respectively. Each is estimated to generate profit of Rp. 170 million, Rp. 150 million, Rp. 200 million, and Rp. 160 million respectively. The goal of Budi's restaurant is to maximize the profit.
a. Formulate the 0-1 integer programming model for the problem!
b. Solve the problem using implicit enumeration methods!
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