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Business Analytics · End Term · 30 Apr 2023 · January 2023 term · Set QPD1-S2

Question 8: The following is the Primal LP Formulation for a resource…

Question 8

+2 marksNumerical answer

The following is the Primal LP Formulation for a resource allocation problem. Given this, answer the subquestions

Objective: Maximize (10Y1+20Y2+5Y3+7Y4+12Y5+11Y6)(10Y_1 + 20Y_2 + 5Y_3 + 7Y_4 + 12Y_5 + 11Y_6)

Constraint-1: Y1+Y2+Y3+Y4+Y5+Y6<=200Y_1+Y_2+Y_3+Y_4+Y_5+Y_6 <= 200

Constraint-2: 2Y1+3Y3<=502Y_1+3Y_3 <= 50

Constraint-3: 4Y2+5Y4+3Y6<=704Y_2+5Y_4+3Y_6 <= 70

Constraint-4: Y1+Y3<=20Y_1+ Y_3 <= 20

Constraint-5: Y2+Y4+Y6<=70Y_2+Y_4+Y_6 <= 70

Constraint-6: Y1Y_1, Y2Y_2, Y3Y_3, Y4Y_4, Y5Y_5, Y6Y_6 are all non-negative

What is the objective function “co-efficient” for the dual decision variable corresponding to the “Constraint-4” in the primal?

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Correct answer: 20

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Question 8 of 31 in the IIT Madras BS Business Analytics (Business Analytics) End Term paper sat on 30 Apr 2023, in the January 2023 term (IIT M DIPLOMA ET1 EXAM QPD1 S2 30 Apr 2023). It carries 2 marks.

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