A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will beCorrect answer is '28000'. Can you explain this answer?

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A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will be

Correct answer is '28000'. Can you explain this answer?

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A ball pen manufacturer produces refill and barrel. The work departmen...

Let x₁ and x₂ be number of refills and barrels respectively and Z denotes total profit earned.
Formulation of problem:

From the above tableau, we can conclude that x₂ is the entering variable because it is having most negative Z_j – C_j value. And S₂ is exit variable because it has least positive ratio.
Revised simplex tableau:

Second Iteration:

Since there is no negative Z_j – C_j value, so this is the final simplex table. The optimum mix of products for maximizing profit is
Refills = 4000, and barrels = 8000
The maximum profit is given by

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A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will beCorrect answer is '28000'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will beCorrect answer is '28000'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball pen manufacturer produces refill and barrel. The work department is capable of producing 20000 refills or 10000 barrels or any other combinations of these per week. The demand for refills and barrels is limited to 15000 and 8000 units per week respectively. The profit per unit from refill is 1 rs. And that from barrel is 3 rs. The maximum profit to the manufacturer in rupees will beCorrect answer is '28000'. Can you explain this answer?.

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