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Consider the following problem: Suppose the only foods available in your local store are potatoes, chicken-breast, and steak. The unit cost of each item is

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Consider the following problem: Suppose the only foods available in your local store are potatoes, chicken-breast, and steak. The unit cost of each item is $5, $12, & $17, respectively. The decision about how much of each food to buy is made entirely on dietary and economic considerations. . Each "potato" constitutes of 3 units of carbohydrates, 4 units of vitamins, and one unit of proteins Each "chicken-breast" constitutes of 2 units of carbohydrates, 5 units of vitamins, and 3 units of proteins. Each "steak" constitutes of 1 unit of carbohydrates, 3 units of vitamins, and 3 units of proteins. The minimum daily required amounts of carbohydrates, vitamins, & proteins are 8 units, 19 units, and 7 units, respectively. C4: Amount of "Steak must not exceed 7% of the total purchased goods. C5: The total amount of Potatoes" must be at least 55 units. The objective function is written as 3 points maximize z = 5x1 + 12x2 + 17x3 maximize z = 8x1 + 19x2 + 7x3 None of the answers. minimize z = 8x1 + 19x2 + 7x3 minimize z = 5x1 + 12x2 + 17x3

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