BCOC-134 BUSINESS MATHEMATICS AND STATISTICS in English Solved Assignment 2025

BCOC-134 BUSINESS MATHEMATICS AND STATISTICS Solved Assignment 2025

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COURSE CODE : BCOC – 134
COURSE TITLE : BUSINESS MATHEMATICS AND STATISTICS
ASSIGNMENT CODE : BCOC – 134/TMA/2025
COVERAGE : ALL BLOCKS
Maximum Marks: 100

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Note: Attempt all the questions.
Section – A
Q. 1 A shopkeeper charges Rs. 25 per item for buying 20 or less items. He gives some rebate if
items bought are more. If the items bought are 50 or less, then a rebate of Re. 1 per item and
for purchase of more than 50 items, rebate of Rs. 2 per item. Find the cost function. What are
the points at which this is not continuous?
(10)
Q. 2 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 maximise profit?
d) What is the maximum profit?
e) What price per unit must be charged in order to make this maximum profit?
(10)
Q. 3 A sum of money is deposited by Krishna which compounds interest annually. The amount at
the end of 2 years is Rs. 5000 and at the end of 3 years is 5200. Find the money deposited and
the rate of interest.
(10)
Q. 4 The profits (in Rs. Lakhs) earned by 100 companies during the 1987-88 are shown below.
Compute (a) Mean, (B) Variance, and (c) Standard deviation by using items and their squares.
(10)
Q. 5 What do you mean by statistics? Explain its importance to economics and business. Also
discuss the various functions of statistics.
(10)
Section – B
Q. 6 What is weighted average? Under what conditions weighted average is preferable to a simple
average?
(6)
Q. 7 The total cost of a firm is C=1/3×3
– 6×2
+ 40x =15. Find the equilibrium output if price is
fixed at Rs. 20 per unit.
(6)
Q. 8 Find the effective discount rate when nominal rate of discount is 10% compounded
continuously.
(6)
Q. 9 A businessman sells 2000 items per month at a price of Rs. 10 each. It is estimated that
monthly sales will increase by 250 items for each Re. 0.25 reduction in price. Find the
demand function corresponding to this estimate.
(6)
Q.10 Why is matrix multiplication not commutative? (6)
Section – C
Q.11 Write short notes on the following:
a) Partition values
b) Correlation
(5×2)
Q.12 Differentiate between the following:
a) Absolute measures and relative measures of dispersion.
b) Variance and coefficient of variation

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