A dietician recommends mixture of two kinds of foods to a person so that mixture contains at least 45 units of carbs, 25 units of protein, 15 units…

CA Foundation · Quantitative Aptitude · PYQS · September 2024
A dietician recommends mixture of two kinds of foods to a person so that mixture contains at least 45 units of carbs, 25 units of protein, 15 units of fat and 15 units of fibre. The above contents of nutrients are available in the foods as below: Food-1: Carbs 20, Protein 5, Fat 3, Fibre 2 Food-2: Carbs 10, Protein 2, Fat 4, Fibre 5 If 'x' units of food-1 is mixed with 'y' units of food-2, how dietician recommendation can be expressed ?
(A) A. 20x + 10y ≤ 25; 5x + 2y ≥ 45; 3x + 4y ≤ 15; 2x + 5y ≥ 15; x ≥ 0; y ≥ 0
(B) B. 20x + 10y ≤ 45; 5x + 2y ≥ 25; 3x + 4y ≤ 15; 2x + 5y ≥ 15; x ≥ 0; y ≥ 0
(C) C. 20x + 10y ≥ 45; 5x + 2y ≥ 25; 3x + 4y ≥ 15; 2x + 5y ≥ 15; x ≥ 0; y ≥ 0
(D) D. 20x + 10y ≤ 45; 5x + 2y ≤ 25; 3x + 4y ≤ 15; 2x + 5y ≤ 15; x ≥ 0; y ≥ 0

Suggested Answer and Working Notes:

Correct Answer: Option (C)

C. 20x + 10y ≥ 45; 5x + 2y ≥ 25; 3x + 4y ≥ 15; 2x + 5y ≥ 15; x ≥ 0; y ≥ 0

Topics: Part-B: Logical Reasoning

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