Numerade

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In the following question you are asked to determine, other things equal, the effects of a given change in a determinant of demand or supply for product X upon (1) the demand (D) for, or supply (S) of, X; (2) the equilibrium price (P) of X; and (3) the equilibrium quantity (Q) of X. A reduction in the number of firms producing X will Multiple Choice decrease S, decrease P, and increase Q increase D, increase P, and increase Q increase S, decrease P, and increase Q decrease S, increase P, and decrease Q

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Violations of the strong assumptions underlying the rational choice model might not matter if the model is simplifying real-world relationships and consumers behave as if they are maximizing some utility function. True False

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Brandon and Baily want to know the quantity they should produce to maximize profit. As their economic advisor, you recommend that they produce until marginal revenue is equal to price. produce as much as possible, regardless of cost. produce until marginal cost is equal to marginal revenue. produce until price falls below average variable cost.

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For the system of linear equations $2x - 2y - z = 3$ $x + 2y + (-2 + a)z = 3$ $2x + 4y + 2(-4 + 3a)z = 6$ • Write the augmented matrix $(A|b)$ $(A|b) = \begin{pmatrix} 2 & -2 & -1 & 3 \ 1 & 2 & (-2+a) & 3 \ 2 & 4 & 2(-4+3a) & 6 \end{pmatrix}$ • What should the value of the parameter $a$ be so that the system has infinitely many solutions? $a = $ Note: To enter a matrix of the form $\begin{pmatrix} a & b & c & d \ e & f & g & h \ i & j & k & l \end{pmatrix}$ use the notation $<<a|b|c|d>, <e|f|g|h>, <i|j|k|l>>$

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Goods such as this one that are rival but non-excludable are known as club goods Group of answer choices True False

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Which determines the minimum return that can be received from a company? investment? a. Alternative investment opportunities available b. Profit margin of the company c. Return from company shares d. Return from risk-free debt securities

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Use the supply and demand graph of saving in an open economy to demonstrate the effects of each of the following independent shocks on the domestic real interest rate and the amount of capital investment of a country. Instructions: Click and drag the appropriate line or lines in the graph to answer this question. Investment opportunities in the country improve owing to new technologies. Demand and Supply of Saving Interest Rate Saving and investment (S + I) The demand for saving will increase. The demand curve will shift to the right. The domestic real interest rate will increase, and the amount of capital investment will increase.

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Light passes from air into another medium at point A (shown in the figure below). The distances are x₁ = 3.80 m and x₂ = 1.20 m. 60.0° -> ΤΑ Air How long does it take the light ray to travel from A to B?

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Q #5: Solve $\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \cot^4 x \, dx$

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2. Consider the model of an ecosystem given below: \frac{dC}{dt} = (1 - \lambda)N - \gamma C \frac{dv}{dt} = \lambda(1 - v)vN - \gamma vC Here C (in kg C/m² vegetation) denotes the vegetation of carbon per unit surface area of vegetation. C depends on the leaf area coefficient L (m² leaf area/m² vegetation) accord- ing to the equation C = $\sigma$L, where $\sigma$ = 5 kg C/m² leaf area, is a constant. v (in m² vegetation/m² floor area) denotes the extent of vegetation. The variable $\lambda$ is related to L and is given by $\lambda = \frac{L}{L + L_c}$ where $L_c$ = 5 m² leaf area/m² vegetation, is a constant. The parameters for the model are the net production N = 20 kg C m?²yr?¹ and the turnover constant $\gamma$ = 0.1 yr?¹. (a) Perform a dimensional analysis of the model to check if the model is dimensionally consistent. (b) With initial values of C and v given by 0.5 kg C/m² vegetation and 0.1 m² vegetation/m² floor area respectively, simulate the model using simulink. The time of simulation should be 150 yr. Plot C, v and $\lambda$ as functions of time. (c) Vary v(0) in steps of 0.1 starting from 0.1 and ending at 1. In the same figure, plot v vs C for each of these cases. What do you observe? (d) Linearize the model about an equilibrium. Implement the linearized model using simulink. Plot the results of the linearized model alongside the results of the non- linear model. Is there a great difference? Check using plots of C, v and $\lambda$.

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tina p.