Robertos Honey Farm in Chile makes five types of honey: cream, filtered, pasteurized, mlange (a mixture of
Question:
Roberto’s Honey Farm in Chile makes five types of honey: cream, filtered, pasteurized, mélange (a mixture of several types), and strained, which are sold in 1-kilogram or 0.5-kilogram glass containers, 1-kilogram and 0.75-kilogram plastic containers, or in bulk. Key data are shown in the following tables.
Selling Prices (Chilean pesos)
0.75-kg Plastic 1-kg Plastic 0.5-kg Glass 1-kg Glass Bulk/kg Cream 744 880 760 990 616 Filtered 635 744 678 840 521 Pasteurized 696 821 711 930 575 Mélange 669 787 683 890 551 Strained 683 804 697 910 563 Minimum Demand 0.75-kg Plastic 1-kg Plastic 0.5-kg Glass 1-kg Glass Cream 300 250 350 200 Filtered 250 240 300 180 Pasteurized 230 230 350 300 Mélange 350 300 250 350 Strained 360 350 250 380 Maximum Demand 0.75-kg Plastic 1-kg Plastic 0.5-kg Glass 1-kg Glass Cream 550 350 470 310 Filtered 400 380 440 300 Pasteurized 360 390 490 400 Mélange 530 410 390 430 Strained 480 420 380 500 Package Costs (Chilean pesos)
0.75-kg Plastic 1-kg Plastic 0.5-kg Glass 1-kg Glass 91 112 276 351 Harvesting and production costs (in pesos) for each product per kilogram are Cream: 322 Filtered: 255 Pasteurized: 305 Mélange: 272 Strained: 287 Develop a linear optimization model to maximize profit if a total of 10,000 kilograms of honey are available.
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