GATE ME 2020 ME Q47: Operations Research

Two business owners Sheta and Ashok run their business in two different states. Each of them, independent of the other, produces two products A and B, sells them at Rs. 2,000 per kg and Rs. 3,000 per kg, respectively, and uses Linear Programming to determine the optimal quantity of A and B to maximize their respective daily revenue. Their constraints are as follows: i) for each business owner, the production process is such that the daily production of A has to be at least as much B, and the upper limit for production of B is 10 kg per day, and ii) the respective state regulations restrict Sheta’s production of A to less than 20 kg per day, and Ashok’s production of A to less than 15 kg per day. The demand of both A and B in both the states is very high and everything produced is sold.

The absolute value of the difference in daily (optimal) revenue of Sheta and Ashok is ______ thousand Rupees (round off to 2 decimal places).

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Section: Mechanical Engineering
Question type: Numerical answer (NAT)
Marks: 2 marks

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Question 47: Operations Research

Question 47

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GATE ME 2020 · Paper 1

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mechanical engineering

mechanics

manufacturing

operations research

linear programming

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Question 47

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Paper and topic context

GATE ME 2020 · Paper 1

Practise related topics

mechanical engineering

mechanics

manufacturing

operations research

linear programming

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