JEE Exam  >  JEE Questions  >  A cottage industry manufactures pedestal lamp... Start Learning for Free
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?
  • a)
    5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35
  • b)
    5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38
  • c)
    4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32
  • d)
    4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A cottage industry manufactures pedestal lamps and wooden shades, each...
Let number of pedestal lamps manufactured = x 
And number of wooden shades manufactured = y 
Therefore , the above L.P.P. is given as : 
Maximise , Z = 5x +3y , subject to the constraints : 2x +y ≤ 12 and. 3x +2y ≤ 20 , x, y ≥ 0.

Here Z = 32 is maximum. 
i.e 30 packages of screws A and 20 packages of screws B; Maximum profit = Rs 410.
i.e. 4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32 .
View all questions of this test
Explore Courses for JEE exam

Similar JEE Doubts

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer?
Question Description
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct 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 cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct 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 cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer?.
Solutions for A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct 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 cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximize his profit?a)5 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 35b)5 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 38c)4 Pedestal lamps and 4 wooden shades; Maximum profit = Rs 32d)4 Pedestal lamps and 5 wooden shades; Maximum profit = Rs 36Correct answer is option 'C'. 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