Question

.) rina needs at least 48 units of protein, 60 units of carbohydrates, and 50 units of fat each month. from each kilogram of food a, she receives 2 units of protein, 4 units of carbohydrates, and 5 units of fats. food b contains 3 units of protein, 3 units of carbohydrates, and 2 units of fats. if food a costs php110 per kilogram and food b costs php 90 per kilogram. how many kilograms of each food should sofia buy each month to keep costs at a minimum?

Answer 1

for x kg of A and y kg of B, you want to minimize

p = 100x + 90y
subject to the conditions that
2x+3y >= 46
4x+3y >= 60
5x+2y >= 50
Now graph the region and select the vertex which minimizes p

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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Answer 9

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Answer 10

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