Chapter 4.1 Marginal Functions in Economics
___________ Cost: Suppose that C ( x ) describes the cost function for producing x number of a certain product. Then the ___________ cost is the derivative of the cost function, C ( x) , and measures the rate of ________ of the cost function ______________ the number of units ______________. Note 1: The marginal cost for a particular value of x is the ___________ cost of one __________ unit of production. ___________ Revenue Function: R( x) px xf ( x) , where p f ( x) is the unit ________ function and x the __________ of units sold. Note 2: The unit price function comes from solving the ___________ equation in x and p for ____. ___________ Revenue: Suppose that R( x ) describes the revenue function for selling x number of a certain product. Then the ___________ revenue is the derivative of the revenue function, R( x) , and measures the rate of ________ of the revenue function ______________ the number of units ______________.

2

Note 3: R( x)

d xf ( x) dx

.

Note 4: The marginal revenue for a particular value of x is the ___________ revenue of one __________ unit sold. ___________ Profit: Suppose that P( x ) describes the profit function for producing and selling x number of a certain product. Then the ___________ profit is the derivative of the profit function, P( x) , and measures the rate of ________ of the profit function ______________ the number of units ______________ and ______________. Note 5: The marginal profit for a particular value of x is the ___________ profit of one ___________ unit of production. ___________ Cost Function: Suppose C ( x ) is a total cost function. Then the ___________ cost function, denoted by C ( x ) , is C ( x) Note 6: C ( x ) is read C bar of x. Note 7: Similarly, ___________ revenue and ___________ profit are defined. .

3

___________ Average Cost: Suppose that C ( x ) describes the cost function for producing x number of a certain product....

...1
Class X Mathematics Chapter 2: Polynomials Chapter Notes Top Definitions 1. A polynomial p(x) in one variable x is an algebraic expression in x of the form p(x) = anxn an1xn1 an 2 xn 2 ........ a2 x2 a1x a0 , where (i) a0 , a1, a2......an are constants (ii)x is a variable (iii) a0 , a1, a2......an are respectively the coefficients of xi. (iv) Each of anxn an1xn1, an 2 xn 2 ,........a2 x 2 , a1x, a0 , with an 0, is called a term of a...

...f=Friction force, N=normal force. The value of μ has no units since it only serves as a factor between F and N. In order to obtain a constant value for the μ, one has to consider state of equilibrium for the object being experimented. We also took note of the fact that 0 < u < 1.
In cases which there is an angle of repose, all forces involved are being translated with accordance to the surface’s inclination. The weight will now have components that contribute to the...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...the title, or between the title and the text. Margins should be approximately 1.5 inches all around. The last page of your paper (a separate page) should be your Works Cited page. It should be formatted like the one in SMG, pp. 737-738. Please note that entries must be alphabetized and that the first line of each entry should be flush with the margin, but all successive lines should be indented 5 spaces. This is called a “hanging indent.”
Assignment: Write an essay...

...Operations Management textbook notes
CHAPTER 1
* Services are deeds, processes and performances. Interactions between customers and service employees and physical resources.
* Roles of services in economy: financial services, manufacturing, distribution services, personal services, government, business, infrastructure
* Services are not peripheral activities but rather an integral part of society
* Stage of economic Activity:
1) Quinary- extending...

...CHAPTER 15
SS13
Beginning of class
Homemade leverage / arbitrage exercise:
Maverick Corp. has expected earnings of 10 million per year forever and a market value of 100 million dollars. Maverick Corp. has no debt and pays no corporate taxes. Cord Corp. has 10 million per year expected earnings forever. As with Maverick Corp., Cord Corp pays no taxes and expects to continue forever. Cord Corp. has 40 million (market value) in debt outstanding with a 10%...

...(“Isn’t it . . . nothing?”)
primarily serves to
(A) reveal the scientific community’s limited
understanding of Noctiluca
(B) imply that some research on luminescence
is flawed
(C) suggest that an adaptation serves no biological
purpose
(D) note an apparent drawback to luminescence
in Noctiluca
(E) indicate that luminescence can serve a variety
of functions
-6-
a hypothesis is most likely accurate
a prediction will probably prove fruitless
a theory is likely to...

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