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A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?
  • a)
    830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300
  • b)
    800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000
  • c)
    840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500
  • d)
    820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200
Correct answer is option 'B'. Can you explain this answer?
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A toy company manufactures two types of dolls, A and B. Market tests a...
Here , Maximise Z = 12x + 16y , subject to constraints : : x + y ≤ 1200, x - 2y ≥ 0, x - 3y ≤ 600 , x,y ≥ 0

Here Z = 16000 is maximum.i.e. 800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000 .
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A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer?
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A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct 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 toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct 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 toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?a)830 dolls of type A and 430 dolls of type B; Maximum profit = Rs 16300b)800 dolls of type A and 400 dolls of type B; Maximum profit = Rs 16000c)840 dolls of type A and 404 dolls of type B; Maximum profit = Rs 16500d)820 dolls of type A and 420 dolls of type B; Maximum profit = Rs 16200Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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