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Mat 540 Final Paper

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The following shows the marginal revenue (MR) and demand curves faced by a monopolist. [8 pnts] For the following questions, refer to the above figure and assume a constant marginal cost of $2. a. What is the optimal quantity that it should produce? _____________ b. At what price should it sell its output? ______________ For the following questions, refer to the above figure and assume a constant marginal cost of $6. a. What is the optimal quantity that it should produce? _____________ b. At what price should it sell its output? _____________ c. Assume that the average cost faced by the monopolist when it produces and sells the optimal output is $4, it makes a (loss/profit) of ___________. d. What is the consumer surplus if this were a perfectly …show more content…

The matrix below shows the respective payoffs of your choice of actions. The first number listed in each cell is the payoff to the row player and the second number listed is the payoff to the column player. [4 points] a) Refer to the scenario on the previous page. This is an example of a: b) Refer to the scenario on the previous page. Do you have a dominant strategy? If so what? (Continued on next page) c) Refer to the scenario on the previous page. Does Joe have a dominant strategy? If so what? d) What is a Nash equilibrium? Does one exist in this example? 4) Consider two research companies, Gray Inc. and Brown Inc. If neither company advertises, the two companies split the market and earn $50 million each. If they both advertise, they again split the market, but profits are lower by $10 million since each company must bear the cost of advertising. Yet if one company advertises while the other does not, the one that advertises attracts customers from the other. In this case, the company that advertises earns $60 million while the company that does not advertise earns only $30 million. [4 points] Gray Inc. Don’t Advertise Advertise Brown Inc. Don’t Advertise $50 mil $50 mil $30 mil $60 mil Advertise $60 mil $30 mil $40 mil $40

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3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. A number multiplied by twelve makes thirty six. What is this number? 2 3 12 8 I think of a number, multiply it by eight, and I get thirty two.

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In \cite{Romauera92}, Romaguera pointed out that if $X=\mathbb{R}^+$ and $p : X \times X\to \mathbb{R}^+$ defined by $p(x, y) = \max\{x, y\}$ for all $x, y \in X$ then ${CB}^p(X)=\emptyset$ and the approach used in Theorem \ref{THM201} and elsewhere has a disadvantage that the fixed point theorems for self-mappings may not be derived from it, when ${CB}^p(X)=\emptyset$. To overcome from this problem he introduced the concept of mixed multi-valued mappings and obtained a different version of Nadler's theorem in a partial metric spaces. \begin{definition} Let $(X, p)$ be a partial metric space. A mapping $T : X \to X \cup {CB}^p(X)$ is called a mixed multi-valued mapping on $X$ if $T$ is a multi-valued mapping on $X$ such that for each $x\in X$

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Qus1 (A)- 1 2 3 5 4 6 F F T F F T F T F T T T T F T F T T T T F F F T Tautology of statement "Changed in the table so as not to get similarity" (B)- 1 2 3 4 5 Tautology Qus−2: It is clear that, P(x) is true for all values as, P(1) is True, P(2) is true. Thus, the truth value is (((True)))). It is clear that P(0.5) is True, but P(x) is False for x =

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We work with a Boolean Language whose basic symbols are $\vee,\wedge,\neg,\Rightarrow$ endowed with a finite set of atoms $\mathcal{A}$. The set of literals, $\mathcal{L}$, is the set $\mathcal{A}\cup\{\neg p|p\in\mathcal{A}\}$. A pair formed by a literal together with its negation is called a conjugated pair. Here we give the (classical) definition of valuation over a Boolean formula. That is the definition we will use henceforth. \begin{definition}\label{BOOLFOR:def}

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Ashley has been extending her knowledge of math this year. She is continuing to work on concepts above grade level. Her facts are becoming faster and she is applying them in a variety of ways. She is feeling more and more confident in her skills and is always eager to learn more.

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Summary: When integrating function expressed with the new term variable u, we provide the neutralizing factor or “nf” written before the integral sign. This nf could be balance with the given term of the integration. The antiderivative of the trigonometric, exponential, and logarithmic functions would be based on our knowledge on the differentiation formulas since integration is for the reverse of finding the function. A separable differential equation is any differential equation that we can write in the following form, N(y)dy/dx = M(x) Note that in order for a differential equation to be separable all the y's in the differential equation must be multiplied by the derivative and all the x's in the differential equation must be on

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To prove his thesis, Thomas cites game analogies Ike uses dealing with major issues. Project Solarium, a policy to counter emerging Soviet nuclear capability is called a high stakes game of chicken played boldly (p. 107). Ike has diplomats bluff by hinting the U.S. is willing to use nuclear weapons if the Chinese do not agree to end the Korean conflict (p. 75). In response to Khrushchev’s Berlin ultimatum, Eisenhower says we should not start with smaller poker chips, working up to large ones, rather we let them know that our whole stack is in play (p. 320). During the same crises the President remarks about whether the U.S. has the nerve to push all the chips in the pot (p. 325).

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The last product that this company produces are the flow controllers. Flow controllers are products that are very customizable but are not as competitive on the market demanding higher prices. The planned gross margin for the flow controllers was 35% with an actual margin of 41.%. There was a significant increase without the loss of any business. The Wilkerson company have a quality leadership team; however, there are some things that needs to be changed for the company to succeed and prepare for potential price

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In actuality, it is highly unlikely that these assumed payoffs truly reflect the costs or benefits reaped by the organism in question. When the payoff for each strategy has been decided, an optimum is deduced. The final step in the creation of these models is to observe the individuals behaviour in nature. If the behaviour displayed matches the deduced optimum, then the assumptions made about the costs and benefits of the strategies may be assumed to be

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Game theory is the science of strategy. It attempts to determine mathematically and logically the actions that “players” should take to secure the best outcomes for themselves in a wide array of “games.” The games it studies range from chess to child rearing and from tennis to takeovers. But the games all share the common feature of interdependence. That is, the outcome for each participant depends on the choices (strategies) of all.

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BBC’s Sherlock is a modern take on Sir Arthur Conan Doyle’s famous sleuth. It is one of the most well plotted shows on television today, and implicitly imbibes various strategic concepts. In this project, we have used our knowledge of game theory to analyze situations from the show. Some of the concepts we have tackled include dominant strategies, sequential games, repeated games, Mexican standoff etc. Our aim has been to derive an equilibrium using game theory and then compare it to the actual outcome on the show.

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Game theory Generally, game theory is a play when the sides can cooperate or conflict with each other. It is applied to situations where two different agents are depended on each other’s choices. The agents can be anyone starting from people ending with companies. The main benefit of game theory is the method that it creates to analyze problems connected with strategic choices There are two major types; first type of theory is cooperative theory.

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Game Theory Game theory is a branch of economic theory that studies strategic interaction. It finds application in a broad variety of real life situations ranging from interpersonal interaction (e.g. kids playing rock-paper-scissor), through interaction of multinational companies (e.g. wars for market share of Coca-Cola Company and PepsiCo.) to interaction of blocs of states (such as the Western and Eastern bloc during the Cold War). Game theory has come to prominence during the WWII, when it was used as a means for studying military strategy of belligerent parties, and has remained one of the focal points of economic theory since then. The modern foundations of game theory, however, were laid already in 1920s by American physicist and mathematician John von Neumann who formalized some of the fundamental notions in this field.

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