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PT Toy Story produces two kinds of children's toys, namely Sheriff Woody and Buzz Lightyear characters. To produce 1 unit of Sheriff Woody character, the
PT Toy Story produces two kinds of children's toys, namely Sheriff Woody and Buzz Lightyear characters. To produce 1 unit of Sheriff Woody character, the company needs to allocate 25 minutes each, while for Buzz Lightyear character, the company needs to 40 minutes for 1 unit. The company has a normal production time of 4800 minutes per week. To produce the toys, the company needs 10 kg of plastic for 1 unit of Sheriff Wood and 15 kg for 1 unit of Buzz Lightyear. The company has a material storage area with a capacity of only 2400 kg. Profit for each toy character is estimated to be as follows: Sheriff Woody Rp 45.000/unit; Buzz Lightyear Rp 60.000 / unit. Within a week, it is approximated that the demands for the Sheriff Woody brand are 100 units, while for Buzz Lightyear are 60 units. The Company has set some targets to be achieved, with the following order of priorities: 1. The maximum overtime limit is 480 minutes per week. 2. Earning profit of Rp 8.300.000 in one week. 3. Meeting the demand target for each brand, in which Buzz Lightyear character is more prioritized as it gives the company higher profit. 4. Minimizing the amount of wasted material. 5. Minimizing the number of overtime hours. 6. Maintaining a minimum profit of Rp 5,000,000 per week to maintain the company's financial condition. Required: Develop a programming model for the case above! PT Toy Story produces two kinds of children's toys, namely Sheriff Woody and Buzz Lightyear characters. To produce 1 unit of Sheriff Woody character, the company needs to allocate 25 minutes each, while for Buzz Lightyear character, the company needs to 40 minutes for 1 unit. The company has a normal production time of 4800 minutes per week. To produce the toys, the company needs 10 kg of plastic for 1 unit of Sheriff Wood and 15 kg for 1 unit of Buzz Lightyear. The company has a material storage area with a capacity of only 2400 kg. Profit for each toy character is estimated to be as follows: Sheriff Woody Rp 45.000/unit; Buzz Lightyear Rp 60.000 / unit. Within a week, it is approximated that the demands for the Sheriff Woody brand are 100 units, while for Buzz Lightyear are 60 units. The Company has set some targets to be achieved, with the following order of priorities: 1. The maximum overtime limit is 480 minutes per week. 2. Earning profit of Rp 8.300.000 in one week. 3. Meeting the demand target for each brand, in which Buzz Lightyear character is more prioritized as it gives the company higher profit. 4. Minimizing the amount of wasted material. 5. Minimizing the number of overtime hours. 6. Maintaining a minimum profit of Rp 5,000,000 per week to maintain the company's financial condition. Required: Develop a programming model for the case above
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