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BBMP 1103
   Mathematic Management
Exam Preparation Workshop Sept 2011
  Part 9 – Consumer’s Surplus and
            Critical Point

       Presented By: Dr Richard Ng

              26 Nov 2011
                2ptg – 4ptg
9. Focus on Consumers’ Surplus

    There are consumers who are willing to pay more than the
    equilibrium price, so they benefit from the lower equilibrium
    price. The area of A represents the consumers’ surplus.




Prepared by Dr Richard Ng (2011)                                Page 2
Question: 20 (January 2011)




   Suggested Answers:

      p = 200 – q2                 (q + 10)(q – 4) = 0
      p = 6q + 160                 q = -10 and q = 4

      6q + 160 = 200 – q2          p = 200 – (4)2 = 200 – 16 = 184
      q2 + 6q – 40 = 0

Prepared by Dr Richard Ng (2011)                                     Page 3
Prepared by Dr Richard Ng (2011)   Page 4
Prepared by Dr Richard Ng (2011)   Page 5
10. Focus on Critical Point




Prepared by Dr Richard Ng (2011)   Page 6
Prepared by Dr Richard Ng (2011)   Page 7
Prepared by Dr Richard Ng (2011)   Page 8
Prepared by Dr Richard Ng (2011)   Page 9
Prepared by Dr Richard Ng (2011)   Page 10
Question: 21 (May 2010)




Prepared by Dr Richard Ng (2011)   Page 11
Question: 22 (September 2009)




Prepared by Dr Richard Ng (2011)   Page 12
End of
                                     Exam
                                   Workshop




Prepared by Dr Richard Ng (2011)              Page 13

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BBMP1103 - Sept 2011 exam workshop - part 9

  • 1. BBMP 1103 Mathematic Management Exam Preparation Workshop Sept 2011 Part 9 – Consumer’s Surplus and Critical Point Presented By: Dr Richard Ng 26 Nov 2011 2ptg – 4ptg
  • 2. 9. Focus on Consumers’ Surplus There are consumers who are willing to pay more than the equilibrium price, so they benefit from the lower equilibrium price. The area of A represents the consumers’ surplus. Prepared by Dr Richard Ng (2011) Page 2
  • 3. Question: 20 (January 2011) Suggested Answers: p = 200 – q2 (q + 10)(q – 4) = 0 p = 6q + 160 q = -10 and q = 4 6q + 160 = 200 – q2 p = 200 – (4)2 = 200 – 16 = 184 q2 + 6q – 40 = 0 Prepared by Dr Richard Ng (2011) Page 3
  • 4. Prepared by Dr Richard Ng (2011) Page 4
  • 5. Prepared by Dr Richard Ng (2011) Page 5
  • 6. 10. Focus on Critical Point Prepared by Dr Richard Ng (2011) Page 6
  • 7. Prepared by Dr Richard Ng (2011) Page 7
  • 8. Prepared by Dr Richard Ng (2011) Page 8
  • 9. Prepared by Dr Richard Ng (2011) Page 9
  • 10. Prepared by Dr Richard Ng (2011) Page 10
  • 11. Question: 21 (May 2010) Prepared by Dr Richard Ng (2011) Page 11
  • 12. Question: 22 (September 2009) Prepared by Dr Richard Ng (2011) Page 12
  • 13. End of Exam Workshop Prepared by Dr Richard Ng (2011) Page 13