Description
TUTOR MARKED ASSIGNMENT
COURSE CODE : BCOC – 134
COURSE TITLE :BUSINESS MATHEMATICS AND STATISTICS
ASSIGNMENT CODE BCOC – 134/TMA/2026
Valid from 1st January 2026 to 31st December 2026
ALL BLOCKS Note: Attempt all the questions. Maximum Marks: 100
Section – A
1 A firm producing packaged snacks operates in a competitive urban market. The estimated monthly demand function for its product is � � =1,200−20𝑃 where 𝑄is quantity demanded and 𝑃is price per packet (in ₹). The total cost function of the firm is � � =4,000+10𝑄+0.05𝑄
a) Derive the total revenue and profit of the firm
. b) Using calculus, determine the level of output that maximizes profit.
c) Find the corresponding price and maximum profit.
d) Interpret the results for managerial decision-making.
2 The monthly sales (in ₹ lakh) of a regional retail chain across eight outlets are as follows:
A) Calculate the mean and median sales. b) Compute the standard deviation. c) Comment on the consistency of sales performance across outlets. d) Suggest one managerial implication based on the dispersion observed.
3 A manufacturing firm plans to replace old machinery after five years. It deposits ₹5,00,000 today in a fixed-income instrument offering 9% per annum compounded annually.
a) Calculate the amount accumulated after five years.
b) If the firm alternatively considers a simple interest investment at 10% per annum for the same period, compute the maturity value.
c) Compare the two options and justify which is financially preferable.
d) Explain the relevance of compounding for long-term business planning.
4 A marketing manager wants to study the relationship between advertising expenditure (₹ lakh) and sales revenue (₹ lakh) of a product. The following data are collected:
a) Estimate the regression equation of sales on advertising.
b) Interpret the slope of the regression line estimated above.
c) Estimate expected sales when advertising expenditure is ₹7 lakh.
d) Explain how this regression result can assist managerial decisions.
5 A firm produces three products using two raw materials
If the firm plans to produce 100 units of product 1, 80 units of product 2, and 60 units of product 3:
a) Express the production plan as a column matrix.
b) Determine the total requirement of each raw material using matrix multiplication.
c) Interpret the results for procurement planning.
d) State two advantages of using matrices in business analysis.
Section – B
6 Explain the role of statistics in modern business decision-making. Illustrate your answer with suitable examples from marketing, production, or finance departments in a firm
7 A firm’s average cost function is given by
a) Find the output level at which average cost is minimum.
b) Explain the economic significance of this point for the firm.
8 A company employs workers in three departments with the following average monthly wages Calculate the overall average monthly wage of the company using the weighted average method and interpret the result.
9 The marginal revenue function of a firm is: MR=100−4𝑄
a) Derive the total revenue function assuming revenue is zero when output is zero. b) Determine the level of output at which total revenue is maximum.
c) State one managerial implication of your result
Q.10 Define correlation. Using a suitable business example, explain the difference between positive correlation and negative correlation.
Section – C
Q.11 Write short notes on the following:
a) Contribution margin and its business relevance
b) Break-even analysis
Q.12 Distinguish between the following:
a) Simple index numbers and Weighted index numbers
b) Absolute Measure of Dispersion and Relative Measure of Dispersion
Reviews
There are no reviews yet.