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Business Analytics · End Term · 31 Aug 2025 · May 2025 term · Set QDB3

Question 14: How many decision variables are present in the Dual Line…

Question 14

+1 markNumerical answer

The Following Comprehension and Related Subquestions are Purely Hypothetical Milo The Goofball (MTG) is a company that makes footballs for “Recreation (R)” games and “Professional (P)” games. The process of making a football involves the following three stages Stage-1: Cutting and Dyeing
Stage-2: Sewing
Stage-3: Inspection
It is seen that making a R-game football requires 6 minutes in Stage-1, 15 minutes in Stage-2 and 6 minutes in Stage-3. On the other hand, the football for a P-game requires 12 minutes, 9 minutes and 6 minutes in Stages 1,2 and 3 respectively.
For the coming planning period of 4 weeks, MTG has 340 hours available in Stage-1, 480 hours available in Stage-2 and 300 hours available in Stage-3. Moreover, if required, MTG can avail more hours in Stage-1 at an additional cost of Rs. 200 per hour.
Moreover, a R-game football generates a profit of Rs. 500 per piece and a P-game football generates a profit of Rs. 800 per piece. Furthermore, MTG has forecasted that the maximum number of footballs it can sell is 3000. With an objective to maximize the profit, formulate the problem as a Linear Program and answer the given subquestions.

How many decision variables are present in the Dual Linear Programming Problem (which is developed based on the standard form of the problem)?

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Correct answer: 4

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Question 14 of 30 in the IIT Madras BS Business Analytics (Business Analytics) End Term paper sat on 31 Aug 2025, in the May 2025 term (IIT M DIPLOMA FN EXAM QDD1 31 Aug 2025). It carries 1 mark.

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