Question

Two business owners Shveta and Ashok run their businesses 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 as B, and the upper limit for production of B is 10 kg per day, and ii) the respective state regulations restrict Shveta’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 Shveta and Ashok is ________ thousand Rupees (round off to 2 decimal places)

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Answer :

Correct answer is : 10

Maximuum z = 2000x1 + 3000 x2

A → x1 units

x1 ≥ x2

B → x2 units

x2 ≥ 10

x1 < 20

x1 < 15

Shveta's Profit = Rs. 70000 at (20,10)

Ashok's Profit = Rs. 60000 at (15,10)

Difference Rs. 10000

∴ The answer will be 10 as it is asked in a thousand Rupees.

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