JEE Exam  >  JEE Questions  >  A fruit grower can use two types of fertilize... Start Learning for Free
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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum? 
  • a)
    45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.
  • b)
    40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.
  • c)
    50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.
  • d)
    47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.
Correct answer is option 'B'. 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 = 470 is minimum i.e. 40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.
View all questions of this test
Explore Courses for JEE exam

Similar JEE Doubts

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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer?
Question Description
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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer?.
Solutions 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. 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 minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden? should the delivery be scheduled in order that the transportation cost is minimum?a)45 bags of brand P and 105 bags of brand Q; Minimum amount of nitrogen = 480 kg.b)40 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 470 kg.c)50 bags of brand P and 100 bags of brand Q; Minimum amount of nitrogen = 490 kg.d)47 bags of brand P and 107 bags of brand Q; Minimum amount of nitrogen = 499 kg.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev