Assignments

Write short notes on the following: a) Partition values b) Correlation

Introduction In statistics, understanding how data is distributed and how two variables are related are important concepts. Two such tools used in data analysis are partition values and correlation. These concepts help in understanding data behavior and relationships in various fields like economics, business, psychology, and health sciences. a) Partition Values Definition: Partition values are […]

Write short notes on the following: a) Partition values b) Correlation Read More »

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.

Introduction In economics and business mathematics, the demand function shows the relationship between the price of a product and the quantity demanded. In this problem, we are asked to construct a demand function based on the sales behavior of a businessman. We are given how quantity sold changes with price and need to develop a

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. Read More »

Find the effective discount rate when nominal rate of discount is 10% compounded continuously.

Introduction In financial mathematics, the concept of discounting is used to find the present value of future money. When the discounting is done continuously, it means that the money loses its value every instant in time rather than at specific intervals. This question is asking for the effective discount rate when the nominal rate of

Find the effective discount rate when nominal rate of discount is 10% compounded continuously. Read More »

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.

Introduction This question is related to microeconomic concepts where cost and revenue functions are used to determine equilibrium output. In simple words, equilibrium output is the number of units where a firm achieves balance — i.e., when marginal cost (MC) equals marginal revenue (MR). If price is fixed, then marginal revenue is also fixed. In

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. Read More »

What is weighted average? Under what conditions weighted average is preferable to a simple average?

Introduction In business mathematics and statistics, averages are used to find central values or representative figures from data. However, not all data points carry the same level of importance. That’s where the concept of a weighted average comes in. In this answer, we will explain what a weighted average is and when it is preferable

What is weighted average? Under what conditions weighted average is preferable to a simple average? Read More »

What do you mean by statistics? Explain its importance to economics and business. Also discuss the various functions of statistics.

Introduction Statistics is a vital part of business mathematics and plays an essential role in various fields such as economics, business, social sciences, and more. In simple terms, statistics refers to the science of collecting, analyzing, presenting, and interpreting numerical data. It helps in making logical decisions based on data. What Do You Mean by

What do you mean by statistics? Explain its importance to economics and business. Also discuss the various functions of statistics. Read More »

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.

Introduction Understanding how to calculate mean, variance, and standard deviation is fundamental in statistics. These measures help summarize the distribution of data in terms of central tendency and spread. In this question, we are given a frequency distribution (presumably in tabular form) for the profits earned by 100 companies during 1987–88 and we have to

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. Read More »

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.

Introduction This problem is related to compound interest, a crucial concept in business mathematics and banking. Krishna deposits a sum of money which earns compound interest annually. We’re given the amount after 2 years and 3 years. Using this data, we need to calculate two things: The principal amount (initial deposit) The annual rate of

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. Read More »

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?

Introduction This question is based on concepts from business mathematics involving revenue, cost, and profit functions. We are given a pricing function and a cost function. We need to calculate the total revenue, total profit, and then determine the optimal number of units to maximize profit along with the corresponding maximum profit and the price

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? Read More »

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