Robertos Honey Farm in Chile makes five types of honey: cream, filtered, pasteurized, mlange (a mixture of

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.

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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Selling Prices (Chilean pesos) 0.75-kg Plastic 744 635 696 669 683 1-kg Plastic 880 744 821 787 804 Bulk/kg 616 521 575 551 563 0.5-kg Glass 760 678 Cream Filtered Pasteurized Melange Strained 1-kg Glass 990 840 930 890 910 683 697 Minimum Demand Cream Filtered Pasteurized Mélange Strained 0.75-kg Plastic 300 250 230 350 360 1-kg Plastic 250 240 230 300 350 0.5-kg Glass 350 300 350 250 250 1-kg Glass 200 180 300 350 380 Maximum Demand 0.75-kg Plastic 550 400 360 530 480 1-kg Plastic 350 0.5-kg Glass 470 1-kg Glass 310 Filtered Pasteurized Mélange Strained 400 430 500 490 410 390 420 Package Costs (Chilean pesos) 0.75-kg Piastic 0.5-kg Glass 1-kg Plastic 112 1-kg Glass 351 91