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BCOC-134 English Medium Solved Assignment 2026

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BCOC-134 English Medium Solved Assignment 2026 Available

BCOC – 134: Business Mathematics And Statistics

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BCOC-134 English Medium Solved Assignment 2026 Available

Note: Attempt all the questions.

Section-A

Q.1 A firm producing packaged snacks operates in a competitive arhen market. The estimated monthly demand function for its product is Q1,200-20P

where Qis quantity demanded and Pis price per packet (in 7). The total cost function of the firm is

C4,000+100+0.0502

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.

Q.2 The monthly sales (in lakh) of a regional retail chain across eight outlets are as follows:

Outlet

ABCDEFGH

Sales 24 28 20 30 26 22 47 10

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.

Q.3 A manufacturing firm plans to replace old machinery after five years. It deposits 25,00,000 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.

Q.4 A marketing manager wants to study the relationship between advertising expenditure ( lakh) and sales revenue (2 lakh) of a product. The following data are collected:

Advertising (X) 2 4 6 8 10

Sales (Y)

20 25 29 34 40

a) Estimate the regression equation of sales on advertising.

b) Interpret the slope of the regression line ustimated above.

c) Estimate expected sales when advertising expenditure i 27 lakh. d) Explain how this regression result can assist managerial decisions.

Q.5 A firm produces three products using two naw materials. The input requirement (in units) per

unit of output is given below:

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

Q.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.

Q.7 A firm’s average cost function is given by

200 AC50+0.40+-

a) Find the output level at which average cost is minimum.

b) Explain the economic significance of this point for the firm.

Q.8 A company employs workers in three departments with the following average monthly wages:

Department

No. of Workers 50

18,000

Sales

30

Average Wage (2)

Production

2025,000

Administration

22.000

Calculate the overall average monthly wage of the company using the weighted average enethod and interpret the result

Q.9 The marginal revenue function of a firm is:

MR-100-40

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 resalt

Q.10 Define correlation. Using a suitable business example, explan 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 manbers

b) Amolute Measure of Dispersion and Relanve Measure of Dispersion

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