BCOC-134 BUSINESS MATHEMATICS AND STATISTICS in English Solved Assignment 2022-2023

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

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

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.
Advertisement
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

BCOC-134, BCOC 134, BCOC134