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

Question 17: If the MTG decides to make 1500 P-game footballs, 1000 R…

Question 17

+1 markOne or more correct options

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.

If the MTG decides to make 1500 P-game footballs, 1000 R-game footballs, then which of the following options is/are correct

Select all that apply.

  1. A

    MTG will purchase addition capacity in Stage-1

  2. B

    MTG will not purchase addition capacity in Stage-1

  3. C

    MTG will have excess capacity in Stage-1

  4. D

    MTG will have excess capacity in Stage-2

  5. E

    MTG will have excess capacity in Stage-3

  6. F

    MTG will have deficit capacity in Stage-2

  7. G

    MTG will have deficit capacity in Stage-3

  8. H

    MTG cannot make 1500 P-game footballs and 100 R-game footballs as it is an infeasible solution

  9. I

    Cannot say as more information is required

Show answer

Correct answers

  • A

    MTG will purchase addition capacity in Stage-1

  • D

    MTG will have excess capacity in Stage-2

  • E

    MTG will have excess capacity in Stage-3

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Question 17 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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