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Guru Gobind Singh Indraprastha Vishwavidyalaya 2010 B.B.A Business maths - Question Paper

Tuesday, 28 May 2013 07:10Web



(Please write your Exam. Roll No.)    Exam. Roll No...........

END TERM EXAMINATION

FIRST SEMESTER [BBA/BBA(TTM)], DECEMBER - 2010

Paper Code : BBAZBBA(TTM) -105 Subject Paper ID : 17105/50105

: Business Mathematics

Time: 3 Hours

Maximum Marks: 75

Note : Attempt altogether Five questions. Q. No. 1 is compulsory.

Q. 1. Solve the following/Define :

(a)    For 100,95, 90, 85 .....findS31

(b)    Inventory flow analysis.

(c)    Langrangian multipliers.

(d)    Consumer and Producer surplus.

(e)    Find the number of permuation of word HREETI.

(3x5=15)

(15)


Q. 2. Prove that :

(a)    nCr = nCn_r .

(b)    n Pr = Lr x nCr

Q. 3. (a) Find the inverse of A:

7-3 2 0 1 0 5 1 1-5


(b) Given the matrix

7 5 9 3 8 4 6 2 1

A =


Find the minor a32 and a?2

(10+5=15)


Q. 4. Do the following functions have point of inflection?

(i) /(x) = 0-25jc4 -5* 3 +37-5*2 -10x + 50

(ii)    /(a-) = 0-5.y4 3*3 + 30* 2 + 5*+ 20

(iii)    f(x) = 3.x5 - lOOx4 +1000.Y2

Q. 5. Given cost function C = 4x + 450

2 *

revenue function 7i = 46x Olx 450

Find :

(a)    MR

(b)    MC

(c)    AC    (5x3=15) Q. 6. Find the following :

1;

I


(i) I i2x + 1 5

(jc 2 + 7jc 8)5

(ii) | 6*2+tx.+-2 to    (7-5x2=15)

(x3 + .y + x + 1)j    -

Q. 7. IfMC = 20 + MR = 35, the fixed cost is 2500.

Determine the maximum profit and profit maximizing level output. (15) Q. 8. Write short notes on any THREE :

(a)    Hawkins - Simon condition

(b)    Lagrangian multipliers

(c)    Variance analysis

(d)    Consumer surplus

(e)    Series vs Sequence    (5x3=15)







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