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GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

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Question : 59 of 65

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Two business owners Shweta and Ashok run their business in two different status. Each of them, independent of the other, produces two products A and B, sells them at 2,000 per kg and 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 as B, and the upper limit for production of B is 10 kg per day, and ii) the respective state regulations restrict Shweta’s production of A to less than 20kg 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 Shweta and Ashok is thousand Rupees(round off to 2 decimal places).

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