Explain the theorem of second-order optimum.
The theorem of second-order optimum in quantitative methods, particularly in optimization and economic theory, involves analyzing the second-order conditions to determine the nature of a critical point found through first-order conditions. First-order conditions help identify potential optima by setting the first derivatives of the objective function to zero, while second-order conditions provide further insights _________ _____ __________ ________ ____ _____ __________.
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Asalesman has a 50% chance of making a sale. If two customers enter the shop, what is the probability that the salesman will make a sale?
b. If the events and
are independent, show that
,
,
, and
are pairwise independent.
Consider the following utility maximization problem, in which the utility function of the consumer is given by:
The consumer income is , and
and
. Find the utility-maximizing
and
when the budget constraint of the consumer may or may not bind. (Apply Kuhn-Tucker method).
Examine the following functions for maxima and minima:
a.
b.
Using the Simplex method, solve the problem:
Subject to:
निम्नलिखित उपयोगिता अधिकतमकरण समस्या पर विचार करें, जिसमें उपभोक्ता का उपयोगिता कार्य द्वारा दिया गया है। उपभोक्ता आय 1=100 है और | जब उपभोक्ता की बजट बाधा बाध्य हो भी सकती है और नहीं भी, तो x तथा y को अधिकतम करने वाली उपयोगिता ज्ञात कीजिए। (कुद्ध टकर विधि लागू करें)
उपयुक्तता के गुण की काई-वर्ग जाँच (Chi square Test of goodness of Fit)
Point of inflection