The Pburry Corporation is a very large producer and distributor of food products. It has three...

  

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The Pburry Corporation is a very large producer and distributor of food products. It has three main divisions: The Processed Foods Division, the Packaged Goods Division, and the Frozen Foods Division. The Processed Foods Division manufactures products A, B, and C and uses high- quality corn, wheat, and resources R1, R2, and R3 in the manufacture of these products. The Packaged Goods Division manufactures products D, E, and F and uses high-quality corn, wheat and resources R4 and R5 in the manufacture of these products. The Frozen Foods Division manufactures products G and H and uses high-quality corn and wheat and resources R6, R7, and R8 in the manufacture of these products. The corporation grows its own high-quality corn and wheat in the Midwest which are uniquely genetically engineered through proprietary processes. These two genetically engineered foods are the only ones available to be distributed among the three divisions. Currently, Pburry has 30 units of corn and 20 of wheat for distribution. Naturally, it wishes to distribute these in such a way as to derive the maximum overall corporate benefits. Of course, the division managers may have other ideas that may serve them better. Ⓒ Given the data below, determine the divisional production schedules that will maximize Pburry's overall corporate profit. PROCESSED GOODS DIVISION Products made: A, B, and C resources us Corn Wheat R1 R2 R3 profit/unit resources used Corn Wheat amt of resource used A B 3 0 R4 R5 52 PACKAGED GOODS DIVISION Products made: D, E, and F profit/unit 2 7 5 8 4 3 0 5 3 3 N9 amt of resource used D E 2 0 7 1 4 7 2 C 0 4 3 6 3 6 amt. res. available tbd tbd 10 15 12 F 3 0 2 3 9 amt. res. available tbd tbd FROZEN GOODS DIVISION Products made: G and H resources used Corn Wheat R6 R7 R8 profit/unit amt of resource used G H 6 0 5 9 4 5 1 8 7 6 6 amt. res. available tbd tbd 25 30 20 The Pburry Corporation is a very large producer and distributor of food products. It has three main divisions: The Processed Foods Division, the Packaged Goods Division, and the Frozen Foods Division. The Processed Foods Division manufactures products A, B, and C and uses high- quality corn, wheat, and resources R1, R2, and R3 in the manufacture of these products. The Packaged Goods Division manufactures products D, E, and F and uses high-quality corn, wheat and resources R4 and R5 in the manufacture of these products. The Frozen Foods Division manufactures products G and H and uses high-quality corn and wheat and resources R6, R7, and R8 in the manufacture of these products. The corporation grows its own high-quality corn and wheat in the Midwest which are uniquely genetically engineered through proprietary processes. These two genetically engineered foods are the only ones available to be distributed among the three divisions. Currently, Pburry has 30 units of corn and 20 of wheat for distribution. Naturally, it wishes to distribute these in such a way as to derive the maximum overall corporate benefits. Of course, the division managers may have other ideas that may serve them better. Ⓒ Given the data below, determine the divisional production schedules that will maximize Pburry's overall corporate profit. PROCESSED GOODS DIVISION Products made: A, B, and C resources us Corn Wheat R1 R2 R3 profit/unit resources used Corn Wheat amt of resource used A B 3 0 R4 R5 52 PACKAGED GOODS DIVISION Products made: D, E, and F profit/unit 2 7 5 8 4 3 0 5 3 3 N9 amt of resource used D E 2 0 7 1 4 7 2 C 0 4 3 6 3 6 amt. res. available tbd tbd 10 15 12 F 3 0 2 3 9 amt. res. available tbd tbd FROZEN GOODS DIVISION Products made: G and H resources used Corn Wheat R6 R7 R8 profit/unit amt of resource used G H 6 0 5 9 4 5 1 8 7 6 6 amt. res. available tbd tbd 25 30 20

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To determine the divisional production schedules that will maximize Pburrys overall corporate profit we need to allocate the available resources corn and wheat in a way that maximizes the total profit ... View the full answer