Please note that the term marginal utility is used to describe the additional benefit or utility gained by a consumer from purchasing and using an additional unit of a product or service.
<h3>What is Marginal Utility used for?</h3>
In social science - economics, Marginal Utility is used to calculate how much of an item or service a consumer will be ready or willing to purchase.
It aids the economist to determine consumer behavior in relation to the way a person would spend their income on various goods in order to gain the most benefit possible.
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Answer:
For correlation 1 the standard deviation of portfolio is 0.433.
For correlation 0 the standard deviation of portfolio is 0.3191.
For correlation -1 the standard deviation of portfolio is 0.127.
Explanation:
The standard deviation of a portfolio is computed using the formula:

(1)
For <em>r</em> = + 1 compute the standard deviation of portfolio as follows:

Thus, for correlation 1 the standard deviation of portfolio is 0.433.
(2)
For <em>r</em> = 0 compute the standard deviation of portfolio as follows:

Thus, for correlation 0 the standard deviation of portfolio is 0.3191.
(3)
For <em>r</em> = -1 compute the standard deviation of portfolio as follows:

Thus, for correlation -1 the standard deviation of portfolio is 0.127.
Answer: Making initial development private saves the government from funding all of the research.
Explanation:
A grant refers to an amount of money that is financial assistance thats given by the government or an organization to an individual or firm for a specific purpose. A grant is different from a loan as it isn't meant to be paid back.
Government award grants for the development of technologies, community projects, home insulation etc.
With regards to the question, a government – sponsored grants for the private development of new technologies may result in a lower national debt when the government makes the initial development private thereby saving the government from funding all of the research.