## BCOC-134 BUSINESS MATHEMATICS AND STATISTICS Solved Assignment 2022-2023

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TUTOR MARKED ASSIGNMENT

COURSE CODE : BCOC – 134

COURSE TITLE : BUSINESS MATHEMATICS AND STATISTICS

ASSIGNMENT CODE : BCOC – 134/TMA/2022-23

COVERAGE : ALL BLOCKS

Maximum Marks: 100

Title Name |
## BCOC-134 Solved Assignment 2022-2023 |

University |
IGNOU |

Service Type |
Solved Assignment (Soft copy/PDF) |

Course |
BCOMG |

Language |
ENGLISH |

Semester |
2022-2023 Course: B.Com(G) CBCS |

Session |
Valid from 1st January 2023 to 31st December 2023 |

Short Name |
BCOC-134 |

Assignment Code |
BCOC – 134/TMA/2022-23 |

Product |
Assignment of BCOMG 2022-2023 (IGNOU) |

Submission Date |
1. Those students who are appearing in June Term End Examination they have to submit latest by in 15th March. 2. Those students who are appearing in December exams. They should download the new assignment and submit the same latest by 15th October. |

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Note: Attempt all the questions.

Section – A

Q. 1 Show that the following data that Fisher’s ideal index satisfies the Time

Reversal Test and Factor Reversal Test:

Commodity

Price No. of Units

2005 2018 2005 2018

I 6 10 50 60

II 2 2 100 100

III 4 6 60 60

IV 10 12 30 30

V 8 12 40 40

(5X2)

Q. 2 For a Group of 50 male workers, the mean and standard deviation of their daily

wages are Rs. 72 and Rs. 9 respectively. For another group of 40 female

workers these are Rs. 54 and Rs. 6 respectively. Find the standard deviation for

the combined group of 90 workers.

(10)

Q. 3 The data of advertisement expenditure (X) and sales (Y) of a company for 10

years shown in Table, determine the correlation coefficient between these

variables.

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Expenditure Rs. (X)

Sales Rs. (Y)

6 60

5 55

5 50

4 40

3 35

2 30

2 20

1.5 15

1.0 11

0.5 10

(5×2)

Q. 4 Vidya’s savings account has a balance of Rs. 2,654.39. The annual interest rate

is 3% compounded monthly. Find the original principal amount deposited two

years ago.

(5×2)

Q. 5 A stereo manufacturer determines that in order to sell x units of a new stereo,

the price per unit, in rupees, must be p(x)= 1000 – x. The manufacturer also

determines that the total cost of producing x units is given by C(x) = 3000 +

20x.

a) Find the total revenue R(x).

b) Find the total profit P(x).

c) How many units must the manufacturer produce and sell in order to

maximize profit?

d) What price per unit must be charged in order to make this maximum profit?

(10)

Section – B

Q. 6 What do you mean by time series? Why do we analyse time series? (6)

Q. 7 How do you identify an inferior good on the basis of income elasticity of

demand?

(6)

Q. 8 What do you mean by maxima or minima of a function? (6)

Q. 9 What is a parametric function? How can we differentiate parametric functions ? (6)

Q.10 What is system of equations and how do you solve them? (6)

Section – C

Q.11 Write short notes on the following:

a) Inverse matrix

b) types of discounts

(5×2)

Q.12 Differentiate between the following:

a) Correlation and Regression

b) Matrix and determinant

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