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A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.
  • a)
    32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414
  • b)
    32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412
  • c)
    30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410
  • d)
    30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A factory manufactures two types of screws, A and B. Each type of scre...
Let number of packages of screws A produced = x 
And number of packages of screws B produced = y 
Therefore , the above L.P.P. is given as : 
Maximise , Z = 7x +10y , subject to the constraints : 4x +6y ≤ 240 and. 6x +3y ≤ 240 i.e. 2x +3y ≤ 120 and 2x +y ≤ 80 , x, y ≥ 0.

i.e 30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410.
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A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer?
Question Description
A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. 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 factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. 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 factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer?.
Solutions for A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. 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 factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines tomanufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.a)32 packages of screws A and 22 packages of screws B; Maximum profit = Rs 414b)32 packages of screws A and 20 packages of screws B; Maximum profit = Rs 412c)30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410d)30 packages of screws A and 22 packages of screws B; Maximum profit = Rs 412Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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