Discuss the various functions related to business and economics. What do you mean by maxima or minima of a function? State the meaning of absolute minimum of a function. Explain the steps for finding maxima and minima of a function.
In the realm of business and economics, functions play a crucial role in modeling various phenomena and making decisions. These functions can represent relationships between different variables, such as cost and quantity, revenue and price, or demand and supply. Some of the key functions related to business and economics include:
1. Cost Function: This function represents the relationship between the cost of production and the quantity produced. It helps businesses analyze their production costs and optimize their production processes.
2. Revenue Function: The revenue function shows the relationship between the quantity sold and the revenue generated. It assists businesses in understanding their sales _________ _________ ___ ________ ____ ____ ________ ________ ___.
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Factorization
Descriptive and Inferential statistics
A dataset representing the monthly sales (in thousands of dollars) for a small business over the past 12 months:
20,22,18,25,21,23,19,24,20,22,26,21
Calculate the range, variance, and standard deviation for the given dataset of monthly sales. Interpret the results in the context of the business's sales
variability.
The manager of a departmental store compiled information on 200 accounts receivable which were delinquent. For each account he has noted the number of
days passed after the due date. He then grouped the data as shown in the following frequency distribution. Determine the median using two methods.
| No. of days passed after due date | 30-44 | 45-59 | 60-74 | 75-89 | 90-104 | 105-119 | 120-134 | ||||||||||||||
| No. of Accounts | 40 | 45 | 40 | 25 | 25 | 20 | 5 | ||||||||||||||
Harmonic Mean
Explain the difference between Karl Pearson’s correlation co-efficient and spearsman’s rank correlations co-efficient. Under what situations, in the latter preferred to the former?
Discuss the various functions related to business and economics. What do you mean by maxima or minima of a function? State the meaning of absolute minimum of a function. Explain the steps for finding maxima and minima of a function.