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A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.
  • a)
    200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000
  • b)
    260 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150400
  • c)
    220 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150020
  • d)
    240 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150040
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A merchant plans to sell two types of personal computers – a des...
Let number of desktop model computers = x 
And number of portable model computers = y 
Therefore , the above L.P.P. is given as :
Maximise , Z = 4500x +5000y , subject to the constraints : x +y ≤ 250 and 25000x +40000y ≤ 700000 .i.e. x +y ≤ 250 and 5x +8y ≤ 1400 , x, y ≥ 0.

Here Z = 1150000 is maximum.
i.e. 200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000 .
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A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.a)200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000b)260 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150400c)220 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150020d)240 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150040Correct answer is option 'A'. Can you explain this answer?
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A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.a)200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000b)260 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150400c)220 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150020d)240 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150040Correct answer is option 'A'. 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 merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.a)200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000b)260 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150400c)220 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150020d)240 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150040Correct answer is option 'A'. 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 merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.a)200 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150000b)260 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150400c)220 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150020d)240 units of desktop model and 50 units of portable model; Maximum profit = Rs 1150040Correct answer is option 'A'. Can you explain this answer?.
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