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A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.
If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?
  • a)
    150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kg
  • b)
    160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kg
  • c)
    140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kg
  • d)
    145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kg
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A fruit grower can use two types of fertilizer in his garden, brand P ...
Let the number of bags used for fertilizer of brand P = x And the number of bags used for fertilizer of brand Q = y . Here , Z = 3x + 3.5y subject to constraints : :1.5 x +2 y ≤ 310, x + 2y ≥ 240, 3x + 1.5y ≥ 270 , x,y ≥ 0

Here Z = 595 is maximum i.e. 140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kg .
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A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer?.
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Here you can find the meaning of A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A fruit grower can use two types of fertilizer in his garden, brand P and brand Q. The amounts (in kg) of nitrogen, phosphoric acid, potash, and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs at least 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine.If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What isthe maximum amount of nitrogen added?a)150 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 625 kgb)160 bags of brand P and 52 bags of brand Q; Maximum amount of nitrogen = 635 kgc)140 bags of brand P and 50 bags of brand Q; Maximum amount of nitrogen = 595 kgd)145 bags of brand P and 55 bags of brand Q; Maximum amount of nitrogen = 555 kgCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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